Optical image capturing system

ABSTRACT

A four-piece optical lens for capturing image and a four-piece optical module for capturing image are provided. In order from an object side to an image side, the optical lens along the optical axis includes a first lens with refractive power; a second lens with refractive power; a third lens with refractive power; and a fourth lens with positive refractive power; and at least one of the image-side surface and object-side surface of each of the four lens elements are aspheric. The optical lens can increase aperture value and improve the imagining quality for use in compact cameras.

CROSS-REFERENCE TO RELATED APPLICATION

This application claims the benefit of Taiwan Patent Application No. 104133277, filed on Oct. 8, 2015, in the Taiwan intellectual Property Office, the disclosure of which is incorporated herein in its entirety by reference.

BACKGROUND OF THE INVENTION

1. Field of the Invention

The present disclosure relates to an optical image capturing system, and more particularly to a compact optical image capturing system which can be applied to electronic products.

2. Description of the Related Art

In recent years, with the rise of portable electronic devices having camera functionalities, the demand for an optical image capturing system is raised gradually. The image sensing device of ordinary photographing camera is commonly selected from charge coupled device (CCD) or complementary metal-oxide semiconductor sensor (CMOS Sensor). In addition, as advanced semiconductor manufacturing technology enables the minimization of pixel size of the image sensing device, the development of the optical image capturing system directs towards the field of high pixels. Therefore, the requirement for high imaging quality is rapidly raised.

The traditional optical image capturing system of a portable electronic device comes with different designs, and mainly includes a two-lens or a three-lens design. However, the requirement for the higher pixels and the requirement for a large aperture of an end user, like functionalities of micro filming and night view, or the requirement of wide view male of the portable electronic device have been raised. But the optical image capturing system with the large aperture design often produces more aberration resulting in the deterioration of quality in peripheral image formation and difficulties of manufacturing, and the optical image capturing system with wide view angle design increases distortion rate in image formation, thus the optical image capturing system in prior arts cannot meet the requirement of the higher order camera lens module.

Therefore, how to effectively increase quantity of incoming light and view angle of the optical lenses, not only further improves total pixels and imaging quality for the image formation, but also considers the equity design of the miniaturized optical lenses, becomes a quite important issue.

SUMMARY OF THE INVENTION

The aspect of embodiment of the present disclosure directs to an optical image capturing system and an optical image capturing lens which use combination of refractive powers, convex and concave surfaces of four optical lenses (the convex or concave surface in the disclosure denotes the change of geometrical shape of an object-side surface or an image-side surface of each lens with different height from an optical axis) and by means of the mechanism element with a small wall thickness for positioning the lens elements, as well as the relative illumination to increase the quantity of incoming light of the optical image capturing system, and to improve imaging quality for image formation, so as to be applied to minimized electronic or narrow frame electronic products.

The term and its definition to the mechanism element parameter in the embodiment of the present invention are shown as below for further reference.

Please refer to FIG. 7. The optical image capturing system may include an image sensing module (not shown in figures) including a substrate and a charge coupled device disposed on the substrate. The optical image capturing system may further include a first lens element positioning element 710 denoted by PEI (Positioning Element 1). The first lens element positioning element 710 may include a basement 712 and a mirror base 714. The basement 712 has an opening accommodating space and is disposed on the substrate to facilitate the charge coupled device being positioned in the accommodating space. The mirror base 714 (may be integrated) is hollow and opaque, and has a cylinder 7141 and a basement 7142 which are connected with each other. The cylinder has a predetermined TPE1 (Thickness of Positioning Element 1), and a first through hole 7143 and a second through hole 7144 are respectively disposed at respective sides of the mirror base 714. The first through hole is connected to the cylinder and the second through hole is connected to the basement. A maximum value of the minimum side length of the basement vertical to the surface of the optical axis denoted by PhiD. The maximum hole diameter of the inner diameter of the second through hole is denoted by Phi2.

The optical image capturing system may further include a second lens element positioning element 720 denoted by PE2 (Positioning Element 2). The second lens element positioning element 720 may be accommodated in the mirror base of the first lens element positioning element and may include a positioning part 722 and a connecting part 724. The positioning part 722 is hollow and respectively disposed with a third through hole 7241 and a fourth through hole 7242 at two sides opposing to the direction of the optical axis. The third through hole 7241 is connected to the positioning part 722 and the fourth through hole 7242 is connected to the basement 7142. The positioning part 722 has a predetermined TPE2 (Thickness of Positioning Element 2) and directly contacts any of the lens elements of the present disclosure to position the accommodated lens elements and arrange the lens elements on the optical axis. The connecting part 724 is disposed outside the positioning part 722 and directly connected to the cylinder 7141, facilitating the second lens element 720 to be accommodated in the mirror base 714 of the first lens element positioning element and the optical image capturing system to correct the focal length and position the lens elements on the direction of the optical axis. The maximum outer diameter of the connecting part perpendicular to the surface of the optical axis is denoted by PhiC. The maximum hole diameter of the inner diameter of the fourth through hole 7242 is denoted by Phi4. The connecting part 724 may have screws, facilitating the second lens element positioning element 720 to be screwed to the mirror base 714 of the first lens element positioning element.

Any of the lens elements of the present disclosure may be directly disposed in the cylinder 7141 of the first lens element positioning element. Any of the chosen lens elements may be closer to the first through hole 7143 than the charge coupled device and face directly towards the charge coupled device. Alternatively, any of the chosen lens elements may be indirectly disposed in the first lens element positioning element 710 through the second lens element positioning element 720 and closer to the third through hole 7241 than the charge coupled device, and directly face towards the charge coupled device.

The term and its definition to the lens element parameter in the embodiment of the present invention are shown as below for further reference.

The Lens Element Parameter Related to a Length or a Height in the Lens Element

A height for image formation of the optical image capturing system is denoted by HOI. A height of the optical image capturing system is denoted by HOS. A distance from the object-side surface of the first lens element to the image-side surface of the second lens element is denoted by InTL. A distance from the image-side surface of the second lens element to an image plane is denoted by InB, and InTL+InB=HOS A distance from an aperture stop (aperture) to an image plane is denoted by InS. A distance from the first lens element to the second lens element is denoted by IN12 (instance). A central thickness of the first lens element of the optical image capturing system on the optical axis is denoted by TP1 (instance)

The Lens Element Parameter Related to a Material in the Lens Element

An Abbe number of the first lens element in the optical image capturing system is denoted by NA1 (instance). A refractive index of the first lens element is denoted by Nd1 (instance)

The Lens Element Parameter Related to a View Angle in the Lens Element

A view angle is denoted by AF. Half of the view angle is denoted by HAF. A major light angle is denoted by MRA.

The Lens Element Parameter Related to Exit/Entrance Pupil in the Lens Element

An entrance pupil diameter of the optical image capturing system is denoted by HEP. The emergent pupil of the optical image capturing system means the image which passes though the aperture diaphragm and the lens element set behind the aperture diaphragm and then is formed in the image space. The emergent pupil is denoted by HXP. An entrance pupil diameter of the optical image capturing system is denoted by HEP. A maximum effective half diameter position of any surface of single lens element means the vertical height between the effective half diameter (EHD) and the optical axis where the incident light of the maximum view angle of the system passes through the farthest edge of the entrance pupil on the EHD of the surface of the lens element. For example, the maximum effective half diameter position of the object-side surface of the first lens element is denoted as EHD11. The maximum effective half diameter position of the image-side of the first lens element is denoted as EHD12. The maximum effective half diameter position of the object-side surface of the second lens element is denoted as EHD21. The maximum half effective half diameter position of the image-side surface of the second lens element is denoted as EHD22. The maximum effective half diameter position of any surfaces of the remaining lens elements of the optical image capturing system can be referred as mentioned above. The maximum effective diameter of the image-side surface which is nearest to the image plane of the optical image capturing system is denoted by PhiA, and the relationship is satisfied: PhiA=a double EHD. If the surface is aspheric, the cut-off point of the maximum effective diameter namely includes the cut-off point of the aspherical surface. An ineffective half diameter (IHD) position of any surface of single lens element means the surficial section of the cut-off point (if it is a aspheric surface, an point end of the aspherical coefficient is on the surface) of the maximum effective diameter extending from the same surface away from the optical axis. The maximum diameter of the image-side surface of the lens element which is nearest to the image plane of the optical image capturing system is denoted by PhiB, and the relationship is satisfied: PhiB=a double (a maximum EHD+a maximum IHD)=PhiA+a double (a maximum IHD).

A maximum effective diameter of the image-side surface of the lens element which is nearest to the image plane (i.e. the image space) in the optical image capturing system is called the optical exit pupil and denoted by PhiA. If the optical exit pupil is on the image-side surface of the third lens element, it is denoted by PhiA3. If the optical exit pupil is on the image-side surface of the fourth lens element, it is denoted by PhiA4. If the optical exit pupil is on the image-side surface of the fifth lens element, it is denoted by PhiA5. If the optical exit pupil is on the image-side surface of the sixth lens element, it is denoted by PhiA6. If the optical image capturing system has lens elements with refractive power, the optical exit pupil is denoted based on the similar way as mentioned above. A pupil ratio of the optical image capturing system is denoted by PMR, and the relationship is satisfied: PMR=PhiA/HEP.

The Lens Element Parameter Related to a Depth of the Lens Element Shape

A distance in parallel an optical axis from a maximum effective diameter position to an axial point on the object-side surface of the fourth lens element is denoted by InRS41 (instance). A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface of the fourth lens element is denoted by InRS42 (instance).

The Lens Element Parameter Related to the Lens Element Shape

A critical point C is a tangent point on a surface of a specific lens element, and the tangent point is tangent to a plane perpendicular to the optical axis and the tangent point cannot be a crossover point on the optical axis. To follow the past, a distance perpendicular to the optical axis between a critical point C13 on the object-side surface of the third lens element and the optical axis is HVT31 (instance). A distance perpendicular to the optical axis between a critical point C32 on the image-side surface of the third lens element and the optical axis is HVT32 (instance). A distance perpendicular to the optical axis between a critical point C41 on the object-side surface of the fourth lens element and the optical axis is HVT41 (instance) A distance perpendicular to the optical axis between a critical point C42 on the image-side surface of the fourth lens element and the optical axis is HVT42 (instance). Distances perpendicular to the optical axis between critical points on the object-side surfaces or the image-side surfaces of other lens elements and the optical axis are denoted in the similar way described above.

The object-side surface of the fourth lens element has one inflection point IF411 which is nearest to the optical axis, and the sinkage value of the inflection point IF411 is denoted by SGI411. SGI411 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the fourth lens element to the inflection point which is nearest to the optical axis on the object-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF411 and the optical axis is HIF411 (instance). The image-side surface of the fourth lens element has one inflection point IF421 which is nearest to the optical axis and the sinkage value of the inflection point IF421 is denoted by SGI421 (instance). SGI421 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the fourth lens element to the inflection point which is nearest to the optical axis on the image-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF421 and the optical axis is HIF421 (instance).

The object-side surface of the fourth lens element has one inflection point IF412 which is the second nearest to the optical axis and the sinkage value of the inflection point IF412 is denoted by SGI412 (instance). SGI412 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the fourth lens element to the inflection point which is the second nearest to the optical axis on the object-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF412 and the optical axis is HIF412 (instance). The image-side surface of the fourth lens element has one inflection point IF422 which is the second nearest to the optical axis and the sinkage value of the inflection point IF422 is denoted by SGI422 (instance). SGI422 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the fourth lens element to the inflection point which is the fourth nearest to the optical axis on the image-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF4222 and the optical axis is HIF422 (instance).

The object-side surface of the fourth lens element has one inflection point IF413 which is the third nearest to the optical axis and the sinkage value of the inflection point IF413 is denoted by SGI413 (instance). SGI413 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the fourth lens element to the inflection point which is the third nearest to the optical axis on the object-side surface of the fourth d lens element. A distance perpendicular to the optical axis between the inflection point IF413 and the optical axis is HIF413 (instance). The image-side surface of the fourth lens element has one inflection point IF423 which is the third nearest to the optical axis and the sinkage value of the inflection point IF423 is denoted by SGI423 (instance). SGI423 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the fourth lens element to the inflection point which is the third nearest to the optical axis on the image-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF423 and the optical axis is HIF423 (instance).

The object-side surface of the fourth lens element has one inflection point IF414 which is the fourth nearest to the optical axis and the sinkage value of the inflection point IF414 is denoted by SGI414 (instance). SGI414 is a horizontal shift distance in parallel with the optical axis from an axial point on the object-side surface of the fourth lens element to the inflection point which is the fourth nearest to the optical axis on the object-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF414 and the optical axis is HIF414 (instance). The image-side surface of the fourth lens element has one inflection point IF424 which is the fourth nearest to the optical axis and the sinkage value of the inflection point IF424 is denoted by SGI424 (instance). SGI424 is a horizontal shift distance in parallel with the optical axis from an axial point on the image-side surface of the fourth lens element to the inflection point which is the fourth nearest to the optical axis on the image-side surface of the fourth lens element. A distance perpendicular to the optical axis between the inflection point IF424 and the optical axis is HIF424 (instance)

The inflection points on the object-side surfaces or the image-side surfaces of the other lens elements and the distances perpendicular to the optical axis thereof or the sinkage values thereof are denoted in the similar way described above.

The Lens Element Parameter Related to an Aberration

Optical distortion for image formation in the optical image capturing system is denoted by ODT. TV distortion for image formation in the optical image capturing system is denoted by TDT. Further, the range of the aberration offset for the view of image formation may be limited to 50%-100%. An offset of the spherical aberration is denoted by DFS. An offset of the coma aberration is denoted by DFC.

The vertical coordinate axis of the characteristic diagram of modulation transfer function represents a contrast transfer rate (values are from 0 to 1). The horizontal coordinate axis represents a spatial frequency (cycles/rum; 1 p/mm; line pairs per mm). Theoretically, an ideal image capturing system can 100% show the line contrast of a photographed object. However, the values of the contrast transfer rate at the vertical coordinate axis are smaller than 1 in the actual image capturing system. The transfer rate of its comparison value is less than a vertical axis. In addition, comparing to the central region, it is generally more difficult to achieve a fine degree of recovery in the edge region of image capturing. The contrast transfer rates (MTF values) with spatial frequencies of 55 cycles/m at the optical axis, 0.3 field of view and 0.7 field of view of a visible spectrum on the image plane are respectively denoted by MTFE0, MTFE3 and MTFE7. The contrast transfer rates (MTF values) with spatial frequencies of 110 cycles/m at the optical axis, 0.3 field of view and 0.7 field of view on the image plane are respectively denoted by MTFQ0, MTFQ3 and MTFQ7. The contrast transfer rates (MTF values with spatial frequencies of 220 cycles/m at the optical axis, 0.3 field of view and 0.7 field of view on the image plane are respectively denoted by MTFH0, MTFH3 and MTFH7. The contrast transfer rates (MTF values) with spatial frequencies of 440 cycles/m at the optical axis, 0.3 field of view and 0.7 field of view on the image plane are respectively denoted by MTF0, MTF3 and MTF7. The three fields of view described above are representative to the centre, the internal field of view and the external field of view of the lens elements. Thus, they may be used to evaluate whether the performance of a specific optical image capturing system is excellent. The design of the optical image capturing system of the present invention mainly corresponds to a pixel size in which a sensing device below 1.12 micrometers is includes. Therefore, the quarter spatial frequencies, the half spatial frequencies (half frequencies) and the full spatial frequencies (full frequencies) of the characteristic diagram of modulation transfer function respectively are at least 110 cycles/mm, 220 cycles/mm and 440 cycles/mm.

If an optical image capturing system needs to satisfy with the images aimed to infrared spectrum, such as the requirement for night vision with lower light source, the used wavelength may be 850 nm or 800 nm. As the main function is to recognize shape of an object formed in monochrome and shade, the high resolution is unnecessary, and thus, a spatial frequency, which is less than 110 cycles/mm, is used to evaluate the functionality of the optical image capturing system when the optical image capturing system is applied to the infrared spectrum. When the foregoing wavelength 850 nm is applied to focus on the image plane, the contrast transfer rates (MTF values) with a spatial frequency of 55 cycles/mm at the optical axis, 0.3 field of view and 0.7 field of view on the image plane are respectively denoted by MTFI0, MTFI3 and MTFI7. However, the infrared wavelength of 850 nm or 800 nm may be hugely different to wavelength of the regular visible light wavelength, and thus, it is hard to design an optical image capturing system which has to focus on the visible light and the infrared light (dual-mode) simultaneously while achieve a certain function respectively.

The disclosure provides an optical image capturing system, an object-side surface or an image-side surface of the fourth lens element may have inflection points, such that the angle of incidence from each view field to the second lens element can be adjusted effectively and the optical distortion and the TV distortion can be corrected as well. Besides, the surfaces of the fourth lens element may have a better optical path adjusting ability to acquire better imaging quality.

The disclosure provides an optical image capturing system, in order from an object side to an image side including a first, second, third and fourth lens elements and an image plane. The first lens element has refractive power. An object-side surface and an object-side surface of the fourth lens element are both aspheric. Focal lengths of the first through fourth lens elements are f1, f2, f3 and f4 respectively. A focal length of the optical image capturing system is f. An entrance pupil diameter of the optical image capturing system is HEP. A distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS. A distance on the optical axis from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL. A maximum effective diameter of the image-side surface of the fourth lens element is PhiA4. Thicknesses in parallel with an optical axis of the first, second, third and fourth lens elements at height ½ HEP respectively are ETP1, ETP2, ETP3 and EPT4. A sum of ETP1 to ETP4 described above is SETP. Thicknesses of the four lens elements on the optical axis respectively are TP1, TP2, TP3 and TP4. A sum of TP1 to TP4 described above is STP. The following relations are satisfied: 1.2≦f/HEP≦6.0, 0.5≦HOS/f≦20, 0<PhiA4/InTL≦1.5 and 0.5≦SETP/STP<1.

The disclosure provides another optical image capturing system, in order from an object side to an image side including a first lens element, a second lens element, a third lens element, a fourth lens element, an image plane, and a first lens element positioning element. The first lens element positioning element includes a mirror base which is hollow and opaque. The mirror base is connected to a cylinder and a basement. The cylinder is applied to accommodate the four lens elements and the basement is between the fourth lens element and the image plane. An outer periphery of the basement is greater than an outer periphery of the cylinder. A maximum value of the minimum side length of the basement perpendicular to the surface of the optical axis is denoted by PhiD. The first lens element has positive refractive power and may have a convex object-side surface near the optical axis. The second lens element has refractive power. The third lens element has refractive power. The fourth lens element has refractive power. Focal lengths of the four lens elements are f1, f2, f3 and f4 respectively. A focal length of the optical image capturing system is f. An entrance pupil diameter of the optical image capturing system is HEP. A distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS. A distance on the optical axis from the object-side surface of the first lens element to the image-side surface of the second lens element is hat A length of outline curve from an axial point on any surface of any one of the four lens elements to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE. The following relations are satisfied: 1.2≦f/HEP≦10, 0.5≦HOS/f≦20, 0 mm<PhiD≦3.3 mm and 0.1≦2(ARE/HEP)≦2.0.

The disclosure provides another optical image capturing system, in order from an object side to an image side including a first lens element, a second lens element, a third lens element, a fourth lens element, an image plane, a first lens element positioning element and a second lens element positioning element. The first lens element positioning element includes a mirror base which is hollow and opaque. The mirror base is connected to a cylinder and a basement. The cylinder is applied to accommodate the four lens elements. The basement is between the fourth lens element and the image plane. An outer periphery of the basement is greater than an outer periphery of the cylinder. A maximum value of the minimum side length of the basement perpendicular to the optical axis id denoted by PhiD. The second lens element positioning element is accommodated in the mirror base and includes a positioning part and a connecting part. The positioning part is hollow and directly contacts and accommodates any of the four lens elements, facilitating the fourth lens elements to be aligned on the optical axis. The connecting part is disposed outside the positioning part and directly contacts an inner periphery of the cylinder. A maximum value of the connecting part perpendicular to the surface of the optical axis is denoted by PhiC. The first lens element has refractive power and has a convex surface near the optical axis. The second lens element has refractive power. The third lens element has refractive power. The fourth lens element has refractive power. At least one of the four lens elements has refractive power. Focal lengths of the four lens elements are f1 f2, f3, and f4, respectively. A focal length of the optical image capturing system is f. An entrance pupil diameter of the optical image capturing system is HEP. A distance on an optical axis from an object-side surface of the first lens element to the image plane is HOS. A distance on the optical axis from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL A maximum effective diameter of the image-side of the fourth lens element is denoted by PhiA4. A length of outline curve from an axial point on any surface of any one of the four lens elements to a coordinate point of vertical height with a distance of a half of the entrance pupil diameter from the optical axis on the surface along an outline of the surface is denoted as ARE. The following relations are satisfied: 1.2≦f/HEP≦10, 0.5≦HOS/f≦20, PhiC<PhiD, 0 mm<PhiD≦3.3 mm and 0.2≦EIN/ETL<1.

A thickness of a single lens element at height of ½ entrance pupil diameter (HEP) particularly affects the corrected aberration of common area of each field of view of light and the capability of correcting optical path difference between each field of view of light in the scope of ½ entrance pupil diameter (HEP). The capability of aberration correction is enhanced if the thickness becomes greater but the difficulty for manufacturing is also increased at the same time. Therefore, it is necessary to control the thickness of a single lens element at height of ½ entrance pupil diameter (HEY), in particular to control the ratio relation (ETP/TP) of the thickness (ETP) of the lens element at height of ½ entrance pupil diameter (HEP) to the thickness (IP) of the lens element to which the surface belongs on the optical axis. For example, the thickness of the first lens element at height of ½ entrance pupil diameter (HEP) is denoted by ETP1. The thickness of the second lens element at height of ½ entrance pupil diameter (HEP) is denoted by ETP2. The thicknesses of other lens elements are denoted in the similar way. A sum of ETP1 to ETP4 described above is SETP. The embodiments of the present invention may satisfy the following relation: 0.3≦SETP/EIN≦0.8.

In order to enhance the capability of aberration correction and reduce the difficulty for manufacturing at the same time, it is particularly necessary to control the ratio relation (ETP/TP) of the thickness (ETP) of the lens element at height of ½ entrance pupil diameter (HEP) to the thickness (TP) of the lens element on the optical axis lens. For example, the thickness of the first lens element at height of ½ entrance pupil diameter (HEP) is denoted by ETP1. The thickness of the first lens element on the optical axis is TP1. The ratio between both of them is ETP1/TP1. The thickness of the second lens element at height of ½ entrance pupil diameter (HEP) is denoted by ETP2. The thickness of the second lens element on the optical axis is TP2. The ratio between both of them is ETP2/TP2. The ratio relations of the thicknesses of other lens element in the optical image capturing system at height of ½ entrance pupil diameter (HEP) to the thicknesses (TP) of the lens elements on the optical axis lens are denoted in the similar way. The embodiments of the present invention may satisfy the following relation: 0.5≦ETP/TP≦3.

A horizontal distance between two adjacent lens elements at height of ½ entrance pupil diameter (HEP) is denoted by ED. The horizontal distance (ED) described above is in parallel with the optical axis of the optical image capturing system and particularly affects the corrected aberration of common area of each field of view of light and the capability of correcting optical path difference between each field of view of light at the position of ½ entrance pupil diameter (HEP). The capability of aberration correction may be enhanced if the horizontal distance becomes greater, but the difficulty for manufacturing is also increased and the degree of ‘miniaturization’ to the length of the optical image capturing system is restricted. Thus, it is essential to control the horizontal distance (ED) between two specific adjacent lens elements at height of ½ entrance pupil diameter (HEP).

In order to enhance ti e capability of aberration correction and reduce the difficulty for ‘miniaturization’ to the length of the optical image capturing system at the same time, it is particularly necessary to control the ratio relation (ED/IN) of the horizontal distance (ED) between the two adjacent lens elements at height of ½ entrance pupil diameter (HEP) to the horizontal distance (IN) between the two adjacent lens elements on the optical axis. For example, the horizontal distance between the first lens element and the second lens element at height of ½ entrance pupil diameter (HEP) is denoted by ED12. The horizontal distance between the first lens element and the second lens element on the optical axis is IN12. The ratio between both of them is ED12/IN12. The horizontal distance between the second lens element and the third lens element at height of ½ entrance pupil diameter (HEP) is denoted by ED23. The horizontal distance between the second lens element and the third lens element on the optical axis is IN23. The ratio between both of them is ED23/IN23. The ratio relations of the horizontal distances between other two adjacent lens elements in the optical image capturing system at height of ½ entrance pupil diameter (HEP) to the horizontal distances between the two adjacent lens elements on the optical axis are denoted in the similar way.

A horizontal distance in parallel with the optical axis from a coordinate point on the image-side surface of the fourth lens element at height ½ HEP to the image plane is EBL. A horizontal distance in parallel with the optical axis from an axial point on the image-side surface of the fourth lens element to the image plane is BL. The embodiments of the present invention enhance the capability of aberration correction and reserve space for accommodating other optical elements. The following relation may be satisfied: 0.2≦EBL/BL≦1.1. The optical image capturing system may further include a light filtration element. The light filtration element is located between the fourth lens element and the image plane. A distance in parallel with the optical axis from a coordinate point on the image-side surface of the fourth lens element at height ½ HEP to the light filtration element is EIR. A distance in parallel with the optical axis from an axial point on the image-side surface of the fourth lens element to the light filtration element is PIR. The embodiments of the present invention may satisfy the following relation: 0.2≦EIR/PIR≦0.8.

The optical image capturing system described above may be configured to form the image on the image sensing device which is shorter than 1/1.2 inch in diagonal length. The pixel size of the image sensing device is smaller than 1.4 micrometers (μm), preferably the pixel size thereof is smaller than 1.12 micrometers (μm). The best pixel size thereof is smaller than 0.9 micrometers (μm). Furthermore, the optical image capturing system is applicable to the image sensing device with aspect ratio of 16:9.

The optical image capturing system described above is applicable to the demand of video recording with above millions or ten millions-pixels (e.g. 4K2K or the so-called UHD and QHD) and leads to a good imaging quality.

The height of optical system (HOS) may be reduced to achieve the minimization of the optical image capturing system when the absolute value of f1 is larger than f1 (|f1|>f4).

When |f2|+|f3|>|f1|+|f4| are satisfied with above relations, at least one of the second through third lens elements may have weak positive refractive power or weak negative refractive power. The weak refractive power indicates that an absolute value of the focal length of a specific lens element is greater than 10. When at least one of the second through third lens elements has the weak positive refractive power, the positive refractive power of the first lens element can be shared, such that the unnecessary aberration will not appear too early. On the contrary, when at least one of the second and third lens elements has the weak negative refractive power, the aberration of the optical image capturing system can be corrected and fine tuned.

The fourth lens element may have positive refractive power. In addition, at least one of the object-side surface and the image-side surface of the fourth lens element may have at least one inflection point, such that the angle of incident with incoming light from an off-axis view field can be suppressed effectively and the aberration in the off-axis view field can be corrected further.

BRIEF DESCRIPTION OF THE DRAWINGS

The detailed structure, operating principle and effects of the present disclosure will now be described in more details hereinafter with reference to the accompanying drawings that show various embodiments of the present disclosure as follows.

FIG. 1A is a schematic view of the optical image capturing system according to the first embodiment of the present application.

FIG. 1B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the first embodiment of the present application.

FIG. 1C is a characteristic diagram of modulation transfer of a visible according to the first embodiment of the present application.

FIG. 1D is a numerical figure of relative illumination of each view field on the image plane according to the first embodiment of the present application.

FIG. 2A is a schematic view of the optical image capturing system according to the second embodiment of the present application.

FIG. 2B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the second embodiment of the present application.

FIG. 2C is a characteristic diagram of modulation transfer of a visible light according to the second embodiment of the present application.

FIG. 2D is a numerical figure of relative illumination of each view field on the image plane according to the second embodiment of the present application.

FIG. 3A is a schematic view of the optical image capturing system according to the third embodiment of the present application.

FIG. 3B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the third embodiment of the present application.

FIG. 3C is a characteristic diagram of modulation transfer of a visible light according to the third embodiment of the present application.

FIG. 3D is a numerical figure of relative illumination of each view field on the image plane according to the third embodiment of the present application.

FIG. 4A is a schematic view of the optical image capturing system according to the fourth embodiment of the present application.

FIG. 4B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the fourth embodiment of the present application.

FIG. 4C is a characteristic diagram of modulation transfer of a visible light according to the fourth embodiment of the present application.

FIG. 4D is a numerical figure of relative illumination of each view field on the image plane according to the fourth embodiment of the present application.

FIG. 5A is a schematic view of the optical image capturing system according to the fifth embodiment of the present application.

FIG. 5B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the fifth embodiment of the present application.

FIG. 5C is a characteristic diagram of modulation transfer of a visible light according to the fifth embodiment of the present application.

FIG. 5D is a numerical figure of relative illumination of each view field on the image plane according to the fifth embodiment of the present application.

FIG. 6A is a schematic view of the optical image capturing system according to the sixth embodiment of the present application.

FIG. 6B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion grid of the optical image capturing system in the order from left to right according to the sixth embodiment of the present application.

FIG. 6C is a characteristic diagram of modulation transfer of a visible light according to the sixth embodiment of the present application.

FIG. 6D is a numerical figure of relative illumination of each view field on the image plane according to the sixth embodiment of the present application.

FIG. 7 is a schematic diagram illustrating the positions of a maximum effective diameter of the image-side surface of the fourth lens element PHiA4, a maximum diameter of the image-side surface of the fourth lens element PhiB, a minimum side length of the basement perpendicular to the surface of the optical axis denoted by PhiD, and a maximum outer diameter of the connection of the second lens element positioning element perpendicular to the surface of the optical axis of each embodiment of the present application.

DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

Reference will now be made in detail to the exemplary embodiments of the present disclosure, examples of which are illustrated in the accompanying drawings. Therefore, it is to be understood that the foregoing is illustrative of exemplary embodiments and is not to be construed as limited to the specific embodiments disclosed, and that modifications to the disclosed exemplary embodiments, as well as other exemplary embodiments, are intended to be included within the scope of the appended claims. These embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the inventive concept to those skilled in the art. The relative proportions and ratios of elements in the drawings may be exaggerated or diminished in size for the sake of clarity and convenience in the drawings, and such arbitrary proportions are only illustrative and not limiting in any way. The same reference numbers are used in the drawings and the description to refer to the same or like parts.

It will be understood that, although the terms ‘first’, ‘second’, ‘third’, etc., may be used herein to describe various elements, these elements should not be limited by these terms. The terms are used only for the purpose of distinguishing one component from another component. Thus, a first element discussed below could be termed a second element without departing from the teachings of embodiments. As used herein, the term “or” includes any and all combinations of one or more of the associated listed items.

An optical image capturing system, in order from an object side to an image side, includes a first, second, third, and fourth lens elements with refractive power and an image plane. The optical image capturing system may further include an image sensing device which is disposed on an image plane.

The optical image capturing system may use three sets of wavelengths which are 486.1 nm, 587.5 nm and 656.2 nm, respectively, wherein 587.5 nm is served as the primary reference wavelength and a reference wavelength for retrieving technical features. The optical image capturing system may also use five sets of wavelengths which are 470 nm, 510 nm, 555 nm, 610 nm and 650 nm, respectively, wherein 555 nm is served as the primary reference wavelength and a reference wavelength for retrieving technical features.

A ratio of the focal length f of the optical image capturing system to a focal length fp of each of lens elements with positive refractive power is PPR. A ratio of the focal length f of the optical image capturing system to a focal length fn of each of lens elements with negative refractive power is NPR. A sum of the PPR of all lens elements with positive refractive power is ΣPPR. A sum of the NPR of all lens elements with negative refractive powers is ΣNPR. It is beneficial to control the total refractive power and the total length of the optical image capturing system when following conditions are satisfied: 0.5≦Σ PPR/|Σ NPR|≦4.5. Preferably, the following relation may be satisfied: 0.9≦Σ PPR/|Σ NPR|≦3.5.

The height of the optical image capturing system is HOS. It will facilitate the manufacturing of miniaturized optical image capturing system which may form images with ultra high pixels when the specific ratio value of HOS/f tends to 1.

A sum of a focal length fp of each lens element with positive refractive power is ΣPP. A sum of a focal length fn of each lens element with negative refractive power is ΣNP. In one embodiment of the optical image capturing system of the present disclosure, the following relations are satisfied: 0<ΣPP≦200 and f4/ΣPP≦0.85. Preferably, the following relations may be satisfied: 0<ΣPP≦150 and 0.01≦f4/ΣPP≦0.7. Hereby, it's beneficial to control the focus ability of the optical image capturing system and allocate the positive refractive power of the optical image capturing system appropriately, so as to suppress the significant aberration generating too early.

The optical image capturing system may further include an image sensing device which is disposed on an image plane. Half of a diagonal of an effective detection field of the image sensing device (imaging height or the maximum image height of the optical image capturing system) is HOI. A distance on an optical axis on the optical axis from the object-side surface of the first lens element to the image plane is HOS. The following relations are satisfied: HOS/HOI≦15 and 0.5≦HOS/f≦20.0. Preferably, the following relations may be satisfied: 1≦HOS/HOI≦10 and 1≦HOS/f≦15. Hereby, the miniaturization of the optical image capturing system can be maintained effectively, so as to be carried by lightweight portable electronic devices.

In addition, in the optical image capturing system of the disclosure, according to different requirements, at least one aperture stop may be arranged for reducing stray light and improving the imaging quality.

In the optical image capturing system of the disclosure, the aperture stop may be a front or middle aperture. The front aperture is the aperture stop between a photographed object and the first lens element. The middle aperture is the aperture stop between the first lens element and the image plane. If the aperture stop is the front aperture, a longer distance between the exit pupil and the image plane of the optical image capturing system can be formed, such that more optical elements can be disposed in the optical image capturing system and the efficiency of receiving images of the image sensing device can be raised. If the aperture stop is the middle aperture, the view angle of the optical image capturing system can be expended, such that the optical image capturing system has the same advantage that is owned by wide angle cameras. A distance from the aperture stop to the image plane is InS. The following relation is satisfied: 0.2≦InS/HOS≦1.1. Preferably, the following relation may be satisfied: 0.4≦InS/HOS≦1. Hereby, features of maintaining the minimization for the optical image capturing system and having wide-angle are available simultaneously.

In the optical image capturing system of the disclosure, a distance from the object-side surface of the first lens element to the image-side surface of the fourth lens element is InTL. A sum of central thicknesses of all lens elements with refractive power on the optical axis is Σ TP. The following relation is satisfied: 0.2≦Σ TP/InTL≦0.95. Preferably, the following relations may be satisfied: 0.2≦Σ TP/InTL≦0.9. Hereby, contrast ratio for the image formation in the optical image capturing system and defect-free rate for manufacturing the lens element can be given consideration simultaneously, and a proper back focal length is provided to dispose other optical components in the optical image capturing system.

A curvature radius of the object-side surface of the first lens element is R1. A curvature radius of the image-side surface of the first lens element is R2. The following relation is satisfied: 0.01≦|R1/R2|≦100. Preferably, the following relation may be satisfied: 0.01≦|R1/R2|≦60.

A curvature radius of the object-side surface of the fourth lens element is R9. A curvature radius of the image-side surface of the fourth lens element is R10. The following relation is satisfied: −200<(R7−R8)/(R7+R8)<30. Hereby, the astigmatism generated by the optical image capturing system can be corrected beneficially.

A distance between the first lens element and the second lens element on the optical axis is IN12. The following relation is satisfied: 0<IN12/f≦5.0. Preferably, the following relation may be satisfied: 0.01≦IN12/f≦4.0. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.

A distance between the second lens element and the third lens element on the optical axis is IN23. The following relation is satisfied: 0<IN23/f≦5.0. Preferably, the following relation may be satisfied: 0.01≦IN23/f≦3.0. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased,

A distance between the third lens element and the fourth lens element on the optical axis is IN34. The following relation is satisfied: 0<IN34/f≦5.0. Preferably, the following relation may be satisfied: 0.001≦IN34/f≦3.0. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.

Central thicknesses of the first lens element and the second lens element on the optical axis are TP1 and TP2, respectively. The following relation is satisfied: 1≦(TP1+IN12)/TP2≦20. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased.

Central thicknesses of the third lens element and the fourth lens element on the optical axis are TP3 and TP4, respectively. The following relation is satisfied: 0.2≦(TP4+IN34)/TP4≦20. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased.

A distance between the second lens element and the third lens element on the optical axis is IN23. A sum of the first through the fourth lens elements on the optical axis is Σ TP. The following relation is satisfied: 0.01≦IN23/(TP2+IN23+TP3)≦0.9. Preferably, the following relation may be satisfied: 0.05≦IN23/(TP2+IN23+TP3)≦0.7. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.

In the optical image capturing system of the disclosure, a distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface of the fourth lens element is InRS41 (the InRS41 is positive if the horizontal displacement is toward the image-side surface, or the InRS41 is negative if the horizontal displacement is toward the object-side surface). A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface of the fourth lens element is InRS42. A central thickness of the fourth lens element on the optical axis is TP4. The following relations are satisfied: −1 mm≦InRS41≦1 mm, −1 mm≦InRS42≦1 mm, 1 mm≦|InRS41|+|InRS42|≦2 mm, 0.01≦|InRS41|/TP4≦10 and 0.01≦|InRS42|/TP4≦10. Hereby, the maximum effective half diameter of the image-side surface and the image-side surface of the fourth lens element can be controlled, and the chromatic aberration of the lens elements can be improved, such that the performance can be increased.

In the optical image capturing system of the disclosure, a distance in parallel with an optical axis from an inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI411. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI421. The following relations are satisfied: 0<SGI411/(SGI411+TP4)≦0.9, 0<SGI421/(SGI421+TP4)≦0.9. Preferably, the following relations may be satisfied: 0.01<SGI411/(SGI411+TP4)≦0.7, 0.0<SGI421/(SGI421+TP4)≦0.7.

A distance in parallel with the optical axis from the inflection point on the object-side surface of the fourth lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI412. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fourth lens element which is the second nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI422. The following relations are satisfied: 0<SGI412/(SGI412+TP4)≦0.9, 0<SGI422/(SGI422+TP4)≦0.9. Preferably, the following relations may be satisfied: 0.1≦SGI412/(SGI412+TP4)≦0.8, 0.1≦SGI422/(SGI422+TP4)≦0.8.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth h lens element which is the nearest to the optical axis and the optical axis is denoted by HIF411. A distance perpendicular to the optical axis between an axial point on the image-side surface of the fourth h lens element and an inflection point on the image-side surface of the fourth lens element which is the nearest to the optical axis is denoted by HIF421. The following relations are satisfied: 0.01≦HIF411/HOI≦0.9, 0.01≦HIF421/HOI≦0.9. Preferably, the following relations may be satisfied: 0.09≦HIF411/HOI≦0.5, 0.09≦HIF421/HOI≦0.5.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is the second nearest to the optical axis and the optical axis is denoted by HIF412. A distance perpendicular to the optical axis between an axial point on the image-side surface of the fourth lens element and an inflection point on the image-side surface of the fourth lens element which is the second nearest to the optical axis is denoted by HIF422. The following relations are satisfied: 0.01≦HIF412/HOI≦0.9, 0.01≦HIF422/HOI≦0.9 m. Preferably, the following relations may be satisfied: 0.09≦HIF412/HOI≦0.8, 0.09≦HIF422/HOI≦0.8.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is the third nearest to the optical axis and the optical axis is denoted by HIF413. A distance perpendicular to the optical axis between an axial point on the image-side surface of the fourth lens element and an inflection point on the image-side surface of the fourth lens element which is the third nearest to the optical axis is denoted by HIF423. The following relations are satisfied: 0.001 mm≦|HIF413|≦5 mm, 0.001 mm≦|HIF423|≦5 mm. Preferably, the following relations may be satisfied: 0.1 mm≦|HIF423|≦3.5 mm, 0.1 mm≦|HIF413|≦3.5 mm.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is the fourth nearest to the optical axis and the optical axis is denoted by HIF414. A distance perpendicular to the optical axis between an axial point on the image-side surface of the fourth lens element and an inflection point on the image-side surface of the fourth lens element which is the fourth nearest to the optical axis is denoted by HIF424. The following relations are satisfied: 0.001 mm≦|HIF414|≦5 mm, 0.001 mm≦|HIF424|≦5 mm. Preferably, the following relations may be satisfied: 0.1 mm≦|HIF424|≦13.5 mm, 0.1 mm≦|HIF414≦3.5 mm.

In one embodiment of the optical image capturing system of the present disclosure, the chromatic aberration of the optical image capturing system can be corrected by alternatively arranging the lens elements with large Abbe number and small Abbe number.

The above Aspheric formula is:

z=ch2/[1+[1−(k+1)c2h2]0.5]+A4h4+A6h6+A8h8+A10h10+A12h12+A14h14+A16h16+A18h18+A20h20+   (1),

where z is a position value of the position along the optical axis and at the height h which reference to the surface apex; k is the conic coefficient, c is the reciprocal of curvature radius, and A4, A6, A8, A10, A12, A14, A16, A18, and A20 are high order aspheric coefficients.

The optical image capturing system provided by the disclosure, the lens elements may be made of glass or plastic material. If plastic material is adopted to produce the lens elements, the cost of manufacturing will be lowered effectively. If lens elements are made of glass, the heat effect can be controlled and the designed space arranged for the refractive power of the optical image capturing system can be increased. Besides, the object-side surface and the image-side surface of the first through fourth lens elements may be aspheric, so as to obtain more control variables. Comparing with the usage of traditional lens element made by glass, the number of lens elements used can be reduced and the aberration can be eliminated. Thus, the total height of the optical image capturing system can be reduced effectively.

In addition, in the optical image capturing system provided by the disclosure, if the lens element has a convex surface, the surface of the lens element adjacent to the optical axis is convex in principle. If the lens element has a concave surface, the surface of the lens element adjacent to the optical axis is concave in principle.

Besides, in the optical image capturing system of the disclosure, according to different requirements, at least one aperture may be arranged for reducing stray light and improving the imaging quality.

The optical image capturing system of the disclosure can be adapted to the optical image capturing system with automatic focus if required. With the features of a good aberration correction and a high quality of image formation, the optical image capturing system can be used in various application fields.

The optical image capturing system of the disclosure can include a driving module according to the actual requirements. The driving module may be coupled with the lens elements to enable the lens elements producing displacement. The driving module may be the voice coil motor (VCM) which is applied to move the lens to focus, or may be the optical image stabilization (OIS) which is applied to reduce the distortion frequency owing to the vibration of the lens while shooting.

At least one of the four lens elements of the optical image capturing system of the disclosure may further be designed as a light filtration element with a wavelength of less than 500 nm according to the actual requirement. The light filter element may be made by coating at least one surface of the specific lens element characterized of the filter function, and alternatively, may be made by the lens element per se made of the material which is capable of filtering short wavelength.

According to the above embodiments, the specific embodiments with figures are presented in detail as below.

The First Embodiment (Embodiment 1)

Please refer to FIG. 1A, FIG. 1B, FIG. 1C, and FIG. 4D. FIG. 1A is a schematic view of the optical image capturing system according to the first embodiment of the present application, FIG. 1B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the first embodiment of the present application, FIG. 1C is a characteristic diagram of modulation transfer of a visible light according to the first embodiment of the present application, and FIG. 1D is a numerical figure of relative illumination of each view field on the image plane according to the first embodiment of the present application. As shown in FIG. 1A, in order from an object side to an image side, the optical image capturing system includes a first lens element 110, a second lens element 120, an aperture stop 100, a third lens element 130, a fourth lens element, an IR-bandstop filter 170, an image plane 180, and an image sensing device 190.

The first lens element 110 has negative refractive power and it is made of glass material. The first lens element 110 has a convex object-side surface 112 and a concave image-side surface 114, and both of the object-side surface 112 and the image-side surface 114 are aspheric. The thickness of the first lens element on the optical axis is TP1. The thickness of the first lens element at height of ½ entrance pupil diameter (HEP) is denoted by ETP1.

A distance in parallel with an optical axis from an inflection point on the object-side surface of the first lens element which is nearest to the optical axis to an axial point on the object-side surface of the first lens element is denoted by SGI111. A distance in parallel with an optical axis from an inflection point on the image-side surface of the first lens element which is nearest to the optical axis to an axial point on the image-side surface of the first lens element is denoted by SGI121. The following relations are satisfied: SGI111=0 mm, SGI121=0 mm, |SGI111|/(|SGI111|+TP1)=0 and |SGI121|/(|SGI121|+TP1)=0.

A distance perpendicular to the optical axis from the inflection point on the object-side surface of the first lens element which is nearest to the optical axis to an axial point on the object-side surface of the first lens element is denoted by HIF111. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the first lens element which is nearest to the optical axis to an axial point on the image-side surface of the first lens element is denoted by HIF121. The following relations are satisfied: HIF111=0 mm, HIF121=0 mm, HIF111/HOI=0 and HIF121/HOI=0.

The second lens element 120 has positive refractive power and it is made of plastic material. The second lens element 120 has a concave object-side surface 122 and a convex image-side surface 124, and both of the object-side surface 122 and the image-side surface 124 are aspheric. The object-side surface 122 has an inflection point. The thickness of the second lens element on the optical axis is TP2, and the thickness of the second lens element at height of ½ entrance pupil diameter (HEP) is denoted by ETP2.

A distance in parallel with an optical axis from an inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by SGI211. A distance in parallel with an optical axis from an inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by SGI221. The following relations are satisfied: SGI211=−0.13283 mm, |SGI211|/(|SGI211|+TP2)=0.05045.

A distance perpendicular to the optical axis from the inflection point on the object-side surface of the second lens element which is nearest to the optical axis to an axial point on the object-side surface of the second lens element is denoted by HIF211. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the second lens element which is nearest to the optical axis to an axial point on the image-side surface of the second lens element is denoted by HIF221. The following relations are satisfied: HIF211=2.10379 mm and HIF211/HOI=0.69478.

The third lens element 130 has negative refractive power and it is made of plastic material. The third lens element 130 has a concave object-side surface 132 and a concave image-side surface 134, and both of the object-side surface 132 and the image-side surface 134 are aspheric. The image-side surface 134 has an inflection point. The thickness of the third lens element on the optical axis is TP3, and the thickness of the third lens element at height of ½ entrance pupil diameter (HEP) is denoted by ETP3.

A distance in parallel with an optical axis from an inflection point on the object-side surface of the third lens element which is nearest to the optical axis to an axial point on the object-side surface of the third lens element is denoted by SGI311. A distance in parallel with an optical axis from an inflection point on the image-side surface of the third lens element which is nearest to the optical axis to an axial point on the image-side surface of the third lens element is denoted by SGI321. The following relations are satisfied: SGI321=0.01218 mm, |SGI321|/(|SGI321|+TP3)=0.03902.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the third lens element which is nearest to the optical axis and the optical axis is denoted by HIF311. A distance perpendicular to the optical axis from the inflection point on the image-side surface of the third lens element which is nearest to the optical axis to an axial point on the image-side surface of the third lens element is denoted by HIF321. The following relations are satisfied: HIF321=0.84373 mm and HIF321/HOI=0.27864.

The fourth lens element 140 has positive refractive power and it is made of plastic material. The fourth lens element 140 has a convex object-side surface 142 and a convex image-side surface 144, both of the object-side surface 142 and the image-side surface 144 are aspheric, and the image-side surface 144 has an inflection point. The thickness of the fourth lens element on the optical axis is TP4, and the thickness of the fourth lens element at height of ½ entrance pupil diameter (HEP) is denoted by ETP4.

A distance in parallel with an optical axis from an inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI411. A distance in parallel with an optical axis from an inflection point on the image-side surface of the fourth lens element which is nearest to the optical axis to an axial point on the image-side surface of the fourth lens element is denoted by SGI421. The following relations are satisfied: SGI411=0 mm, SGI421=−0.41627 mm, |SGI411|/(|SGI411|+TP4)=0 and |SGI421|/(|SGI421|+TP4)=0.25015.

A distance in parallel with an optical axis from an inflection point on the object-side surface of the fourth lens element which is the second nearest to the optical axis to an axial point on the object-side surface of the fourth lens element is denoted by SGI412. The following relations are satisfied: SGI412=0 mm and |SGI412|/(|SGI412+TP4)=0.

A distance perpendicular to the optical axis between the inflection point on the object-side surface of the fourth lens element which is nearest to the optical axis and the optical axis is denoted by HIF411. The following relations are satisfied: HIF411=0 mm, HIF421=1.55079 mm, HIF411/HOI=0 and HIF421/HOI=0.51215.

A distance perpendicular to the optical axis between the inflection point on the image-side surface of the fourth lens element which is second nearest to the optical axis and the optical axis is denoted by HIF421. The following relations are satisfied: HIF412=0 mm and HIF412/HOI=0.

In the first embodiment, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height ½ HEP to the image plane is ETL. A horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height ½ HEP to a coordinate point on the image-side surface of the fourth lens element at height ½ HEP is EIN. The following relations are satisfied: ETL=18.744 mm, EIN=12.339 mm and EIN/ETL=0.658.

The first embodiment satisfies t following relations: ETP1=0.949 mm; ETP2=2.483 mm; ETP3=0.345 mm; ETP4=1.168 mm. A sum of ETP1 to ETP4 described above SETP=4.945 mm. TP1=0.918 mm, TP2=2.500 mm, TP3=0.300 mm and TP4=1.248 mm. A sum of TP1 to TP4 described above STP=4.966 mm. SETP/STP=0.996.

The present embodiment particularly controls the ratio relation (ETP/TP) of the thickness (ETP) of each lens element at height of ½ entrance pupil diameter (HEP) to the thickness (TP) of the lens element to which the surface belongs on the optical axis in order to achieve a balance between manufacturability and capability of aberration correction. The following relations are satisfied: ETP1/TP1=1.034, ETP2/TP2=0.993, ETP3/TP3=1.148 and ETP4/TP4=0.936.

The present embodiment controls a horizontal distance between each two adjacent lens elements at height of ½ entrance pupil diameter (HEP) to achieve a balance between the degree of miniaturization for the length of the optical image capturing system HOS, the manufacturability and the capability of aberration correction. The ratio relation (ED/IN) of the horizontal distance (ED) between the two adjacent lens elements at height of ½ entrance pupil diameter (HEP) to the horizontal distance (IN) between the two adjacent lens elements on the optical axis is particularly controlled. The following relations are satisfied: a horizontal distance in parallel with the optical axis between the first lens element and the second lens element at height of ½ entrance pupil diameter (HEP) ED12=4.529 mm. The following relations are satisfied: a horizontal distance in parallel with the optical axis between the second lens element and the third lens element at height of ½ entrance pupil diameter (HEP) ED34=0.131 mm.

In the optical image capturing system of the first embodiment, a distance between the first lens element 110 and the second lens element 120 on the optical axis is IN12. The following relations are satisfied: IN12=4.571 mm and ED12/IN12=0.991. A distance between the third lens element 130 and the fourth lens element 140 on the optical axis is IN34. The following relations are satisfied: IN34=0.094 mm and ED34/IN34=1.387.

A horizontal distance in parallel with the optical axis from a coordinate point on the image-side surface of the second lens element at height ½ HEP to the image plane EBL=6.405 mm. A horizontal distance in parallel with the optical axis from an axial point on the image-side surface of the fourth lens element to the image plane BL=6.3642 mm. The embodiment of the present invention may satisfy the following relation: EBL/BL=1.00641. In the present invention, a distance in parallel with the optical axis from a coordinate point on the image-side surface of the second lens element at height ½ HEP to the IR-bandstop filter EIR=0.065 mm. A distance in parallel with the optical axis from an axial point on the image-side surface of the second lens element to the IR-bandstop filter PIR=0.025 mm. The following relation is satisfied: EIR/PIR=2.631.

The IR-bandstop filter 170 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element 140 and the image plane 180.

In the optical image capturing system of the first embodiment, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, and half of a maximal view angle of the optical image capturing system is HAF. The detailed parameters are shown as below: f=2.6841 mm, f/HEP=2.7959, HAF=70 and tan(HAF)=2.7475.

In the optical image capturing system of the first embodiment, a focal length of the first lens element 110 is f1 and a focal length of the fourth lens element 140 is f4. The following relations are satisfied: f1=−5.4534 mm, |f/f1|=0.4922, f4=2.7595 mm and |f1/f4|=1.9762.

In the optical image capturing system of the first embodiment, a focal length of the second lens element 120 is f2 and a focal length of the third lens element 130 is f3. The following relations are satisfied: |f2|+|f3|=13.2561 mm, |f1|+|f4|=8.2129 mm and |f2|+|f3|>|f1|+|f4|.

A ratio of the focal length f of the optical image capturing system to a focal length fp of each of lens elements with positive refractive power is PPR. A ratio of the focal length f of the optical image capturing system to a focal length fn of each of lens elements with negative refractive power is NPR. In the optical image capturing system of the first embodiment, a sum of the PPR of all lens elements with positive refractive power is ΣPR=|f/f2|+|f/f4=1.25394. A sum of the NPR of all lens elements with negative refractive powers is ΣNPR=|f/f1|+|f/f2|=1.21490, Σ PPR/|Σ NPR|=1.03213. The following relations are also satisfied: |f/f1|=0.49218, f/f2|=0.28128, |f/f3|=0.72273 and |f/f4|=0.97267.

In the optical image capturing system of the first embodiment, a distance from the object-side surface 112 of the first lens element to the image-side surface 144 of the fourth lens element is InTL. A distance from the object-side surface 112 of the first lens element to the image plane 180 is HOS. A distance from an aperture 100 to an image plane 180 is InS. Half of a diagonal length of an effective detection field of the image sensing device 190 is HOI. A distance from the image-side surface 144 of the fourth lens element to the image plane 180 is BFL. The following relations are satisfied: InTL+InB=HOS, HOS=18.74760 mm, HOI=3.088 mm, HOS/HOI=6.19141, HOS/f=6.9848, InTL/HOS=0.6605, InS=8.2310 mm and InS/HOS=0.4390.

In the optical image capturing system of the first embodiment, a total central thickness of all lens elements with refractive power on the optical axis is ΣTP. The following relations are satisfied: Σ TP=4.9656 mm and Σ TP/InTL=0.4010. Hereby, contrast ratio for the image formation in the optical image capturing system and defect-free rate for manufacturing the lens element can be given consideration simultaneously, and a proper back focal length is provided to dispose other optical components in the optical image capturing system.

In the optical image capturing system of the first embodiment, a curvature radius of the object-side surface 112 of the first lens element is R1. A curvature radius of the image-side surface 114 of the first lens element is R2. The following relation is satisfied: |R1/R2|=9.6100. Hereby, the first lens element may have proper strength of the positive refractive power, so as to avoid the longitudinal spherical aberration to increase too fast.

In the optical image capturing system of the first embodiment, a curvature radius of the object-side surface 142 of the fourth lens element is R7. A curvature radius of the image-side surface 144 of the fourth lens element is R8. The following relation is satisfied: (R7−R8)/(R7+R8)=−35.5932. Hereby, the astigmatism generated by the optical image capturing system can be corrected beneficially.

In the optical image capturing system of the first embodiment, a sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relations are satisfied: Σ PP=12.30183 mm and f4/Σ PP=0.22432. Hereby, it is favorable for allocating the positive refractive power of the fourth lens element 140 to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.

In the optical image capturing system of the first embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relations are satisfied: Σ NP=−14.6405 mm and f1/Σ NP=0.59488. Hereby, it is favorable for allocating the negative refractive power of the fourth lens element 140 to other negative lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.

In the optical image capturing system of the first embodiment, a distance between the first lens element 110 and the second lens element 120 on the optical axis is IN12. The following relations are satisfied: IN12=4.5709 mm and IN12/f=1.70299. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.

In the optical image capturing system of the first embodiment, a distance between the second lens element 120 and the third lens element 130 on the optical axis is IN23. The following relations are satisfied: IN23=2.7524 mm and IN23/f=1.02548. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.

In the optical image capturing system of the first embodiment, a distance between the third lens element 130 and the fourth lens element 140 on the optical axis is IN34. The following relations are satisfied: IN34=0.0944 mm and IN34/f=0.03517. Hereby, the chromatic aberration of the lens elements can be improved, such that the performance can be increased.

In the optical image capturing system of the first embodiment, central thicknesses of the first lens element 110 and the second lens element 120 on the optical axis are TP1 and TP2, respectively. The following relations are satisfied: TP1=0.9179 mm, TP2=2.5000 mm, TP1/TP2=0.36715 and (TP1+IN12)/TP2=2.19552. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased.

In the optical image capturing system of the first embodiment, central thicknesses of the third lens element 130 and the fourth lens element 140 on the optical axis are TP3 and TP4, respectively. The following relations are satisfied: TP3=0.3 mm, TP4=1.2478 mm, TP3/TP4=0.24043 and (TP4+IN34)/TP3=4.47393. Hereby, the sensitivity produced by the optical image capturing system can be controlled, and the performance can be increased.

In the optical image capturing system of the first embodiment, the following relations are satisfied: IN23/(TP2+IN23+TP3)=0.49572. Hereby, the aberration generated by the process of moving the incident light can be adjusted slightly layer upon layer, and the total height of the optical image capturing system can be reduced.

In the optical image capturing system of the first embodiment, a distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the object-side surface 142 of the fourth lens element is InRS41. A distance in parallel with an optical axis from a maximum effective diameter position to an axial point on the image-side surface 144 of the fourth lens element is InRS42. A central thickness of the fourth lens element 140 is TP4. The following relations are satisfied: InRS41=0.2955 mm, InRS42=−0.4940 mm, |InRS41|+|InRS42|=0.7894 mm, |InRS41|/TP4=0.23679 and |InRS42|/TP4=0.39590. Hereby, it is favorable for manufacturing and forming the lens element and for maintaining the minimization for the optical image capturing system.

In the optical image capturing system of the first embodiment, a distance perpendicular to the optical axis between a critical point C41 on the object-side surface 142 of the fourth lens element and the optical axis is HVT41. A distance perpendicular to the optical axis between a critical point C42 on the image-side surface 144 of the fourth lens element and the optical axis is HVT42. The following relations are satisfied: HVT41=0 mm and HVT42=0 mm.

In the optical image capturing system of the first embodiment, the following relation is satisfied: HVT42/HOI=0.

In the optical image capturing system of the first embodiment, the following relation is satisfied: HVT42/HOS=0.

In the optical image capturing system of the first embodiment, an Abbe number of the first lens element is NA1. An Abbe number of the second lens element is NA2. An Abbe number of the third lens element is NA3. An Abbe number of the fourth lens element is NA4. The following relations are satisfied: |NA1−NA2=0.0351. Hereby, the chromatic aberration of the optical image capturing system can be corrected.

In the optical image capturing system of the first embodiment. TV distortion and optical distortion for image formation in the optical image capturing system are TDT and ODT, respectively. The following relations are satisfied: TDT=37.4846% and ODT=−55.3331%.

In the optical image capturing system of the present embodiment, contrast transfer rates of modulation transfer with spatial frequencies of 110 cycles/mm of a visible light at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFQ0, MTFQ3 and MTFQ7. The following relations are satisfied: MTFQ0 is about 0.65, MTFQ3 is about 0.52 and MTFQ7 is about 0.42. The contrast transfer rates of modulation transfer with spatial frequencies of 550 cycles/mm of a visible light at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFE0, MTFE3 and MTFE7. The following relations are satisfied: MTFE0 is about 0.84, MTFE3 is about 0.76 and MTFE7 is about 0.69. The contrast transfer rates of modulation transfer with spatial frequencies of 55 cycles/mm of an infrared ray operation wavelength 850 nm at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFI0, MTFI3 and MTFI7. The following relations are satisfied: MTFE0 is about 0.83, MTFE3 is about 0.79 and MTFE7 is about 0.65.

Please refer to FIG. 1D, which is a numerical figure of relative illumination of each view field on the image plane according to the first embodiment of the present application. The relative illuminations of the optical axis (0.0 view field), 0.1 view field, 0.2 view field, 0.3 view field, 0.4 view field, 0.5 view field, 0.6 view field, 0.7 view field, 0.8 view field, 0.9 view field and 1.0 view field are respectively denoted by RI1, RI2, RI3, RI4, RI5, RI6, RI7, RI8, RI9, and RI10. The relative illumination of the 0.9 view field is about 80%.

Please refer to FIG. 7. The optical image capturing system may include an image sensing module (not shown in figures) including a substrate and a charge coupled device disposed on the substrate. The optical image capturing system may further include a first lens element positioning element 710 denoted by PEI (Positioning Element 1) The first lens element positioning element 710 may include a basement 712 and a mirror base 714. The basement 712 has an opening accommodating space and is disposed on the substrate to facilitate the charge coupled device being positioned in the accommodating space. The mirror base 714 (may be integrated) is hollow and opaque, and has a cylinder 7141 and a basement 7142 which are connected with each other. The cylinder has a predetermined TPE1. (Thickness of Positioning Element 1), and a first through hole 7143 and a second through hole 7144 are respectively disposed at respective sides of the mirror base 714. The first through hole is connected to the cylinder and the second through hole is connected to the basement. A maximum value of the minimum side length of the basement perpendicular to the surface of the optical axis is denoted by PhiD, and PhiD=3.3 mm.

The optical image capturing system may further include a second lens element positioning element 720 denoted by PE2 (Positioning Element 2). The second lens element positioning element 720 may be accommodated in the mirror base of the first lens element positioning element and may include a positioning part 722 and a connecting part 724. The positioning part 722 is hollow and respectively disposed with a third through hole 7241 and a fourth through hole 7242 at two sides opposing to the direction of the optical axis. The third through hole 7241 is connected to the positioning part 722 and the fourth through hole 7242 is connected to the basement 7142. Any of the lens elements of the present disclosure may be directly disposed in the cylinder 7141 of the first lens element positioning element. Any of the chosen lens elements may be closer to the first through hole 7143 than the charge coupled device and face directly towards the charge coupled device. The maximum outer diameter of the connecting part perpendicular to the surface of the optical axis is denoted by PhiC, and PhiC=2.85. The maximum hole diameter of the inner diameter of the fourth through hole 724 is denoted by Phi4. The connecting part 724 may have screws, facilitating the second lens element positioning element 720 to be screwed to the mirror base 714 of the first lens element positioning element.

Any of the chosen lens elements may be indirectly disposed in the first lens element positioning element 710 through the second lens element positioning element 720 and closer to the third through hole 7241 than the charge coupled device, and directly face towards the charge coupled device.

The fourth lens element 140 is the closest to the image plane of the present application, and the maximum diameter of the image-side surface of the fourth lens element is denoted by PhiA4, and the following relationship is satisfied: PhiA4=a double EHD42=1.767 mm. If the surface is aspheric, the cut-off point of the maximum effective diameter namely includes the cut-off point of the aspherical surface. An ineffective half diameter (IHD) position of the fourth lens element means the surficial section of the cut-off point of the maximum effective diameter extending from the same surface away from the optical axis. The fourth lens element 140 is the closest to the image plane of the present application, and the maximum diameter of the image-side surface of the fourth lens element is denoted by PhiB, and the following relationship is satisfied: PhiB=a double (a maximum EHD+a maximum IHD)=PhiA+a double (a maximum IHD).

A maximum effective diameter of the image-side surface of the lens element which is nearest to the image plane the image space) the optical image capturing system is called the optical exit pupil and denoted by PhiA. If the optical exit pupil is on the image-side surface of the fourth lens element, it is denoted by PhiA4. A pupil ratio of the optical image capturing system is denoted by PMR, and the relationship is satisfied: PMR=PhiA4/HEP=1.84337. A ratio to pupil and image is denoted by PMMR, and the relationship is satisfied: PMMR=PhiA4/ImgH=0.58355. A condensed ratio is denoted by PSMR, and relationship is satisfied: PSMR=PhiA4/InTL=0.14269.

Please refer to the following Table 1 and Table 2.

The detailed data of the optical image capturing system of the first embodiment is as shown in Table 1.

TABLE 1 Data of the optical image capturing system f = 2.6841 mm, f/HEP = 2.7959, HAF (tan) = 70 deg, tan(HAF) = 2.7475 Surface Focal # Curvature Radius Thickness Material Index Abbe # length 0 Object Plano At infinity 1 Lens 1 31.98102785 0.918 Glass 1.688 50.26 −5.453 2 3.327880578 4.571 3 Lens 2 −15.2556818 2.500 Plastic 1.642 22.46 9.542 4 −4.681543531 2.528 5 Ape. stop Plano 0.225 6 Lens 3 −2.453543123 0.300 Plastic 1.642 22.46 −3.714 7 127.8664454 0.094 8 Lens 4 2.697747363 1.248 Plastic 1.544 56.09 2.759 9 −2.853715061 0.725 10 IR-bandstop Plano 2.000 BK7_ 1.517 64.13 filter SCHOTT 11 Plano 3.640 12 Image plane Plano Reference wavelength (d-line) = 555 nm, shield position: clear aperture (CA) of the third plano = 3.0 mm As for the parameters of the aspheric surfaces of the first embodiment, reference is made to Table 2.

TABLE 2 Aspheric Coefficients Surface # 3 4 6 7 8 9 k = −2.918829E+01 −3.214789E+00 −1.504539E+01 −2.970417E+01 −1.613370E+01 −1.145951E+00 A4 = −9.004096E−04 −9.725260E−06   8.890018E−05   3.634454E−02   9.587367E−03 −4.742020E−03 A6 =   2.391364E−04 −8.096303E−05 −1.166688E−02 −3.060142E−02 −3.693991E−03   1.232422E−03 A8 = −2.421089E−05   7.787465E−07 −5.720942E−04   8.833265E−03   8.653836E−04   3.333400E−04 A10 =   1.716292E−06   3.517517E−07   8.305770E−04 −1.362695E−03 −7.093620E−05 −2.583094E−06 A12 =   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00   0.000000E+00

Table 1 is the detailed structure data to the first embodiment in FIG. 1A, wherein the unit of the curvature radius, the thickness, the distance, and the focal length is millimeters (mm). Surfaces 0-16 illustrate the surfaces from the object side to the image plane in the optical image capturing system. Table 2 is the aspheric coefficients of the first embodiment, wherein k is the conic coefficient in the aspheric surface formula, and A1-A20 are the first to the twentieth order aspheric surface coefficient. Besides, the tables in the following embodiments are referenced to the schematic view and the aberration graphs, respectively, and definitions of parameters in the tables are equal to those in the Table 1 and the Table 2, so the repetitious details will not be given here.

The Second Embodiment (Embodiment 2)

Please refer to FIG. 2A, FIG. 2B, FIG. 2C, and FIG. 2D. FIG. 2A is a schematic view of the optical image capturing system according to the second embodiment of the present application, FIG. 2B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the second embodiment of the present application, FIG. 2C is a characteristic diagram of modulation transfer of a visible light according to the second embodiment of the present application, and FIG. 2D is a numerical figure of relative illumination of each view field on the image plane according to the second embodiment of the present application. As shown in FIG. 2A, in order from an object side to an image side, the optical image capturing system includes a first lens element 210, an aperture stop 200, a second lens element 220, a third lens element 230, a fourth lens element 240, an IR-bandstop filter 270, an image plane 280, and an image sensing device 290.

The first lens element 210 has positive refractive power and it is made of plastic material. The first lens element 210 has a convex object-side surface 212 and a concave image-side surface 214, and both of the object-side surface 212 and the image-side surface 214 are aspheric and have has an inflection point.

The second lens element 220 has positive refractive power and it is made of plastic material. The second lens element 220 has a convex object-side surface 222 and a convex image-side surface 224, and both of the object-side surface 222 and the image-side surface 224 are aspheric. The object-side surface 222 has an inflection point.

The third lens element 230 has negative refractive power and it is made of plastic material. The third lens element 230 has a concave object-side surface 232 and a convex image-side surface 234, and both of the object-side surface 232 and the image-side surface 234 are aspheric and have an inflection point.

The fourth lens element 240 has positive refractive power and it is made of plastic material. The fourth lens element 240 has a convex object-side surface 242 and a concave image-side surface 244, and both of the object-side surface 242 and the image-side surface 244 are aspheric and have an inflection point.

The IR-bandstop filter 270 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element 240 and the image plane 280.

In the optical image capturing system of the second embodiment, the first, second and third lens elements are all positive lens elements and the focal lengths are respectively f1, f2, and f3. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f1+f2+f3 mm. Hereby, it is favorable for allocating the positive refractive power of a single lens element to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.

In the optical image capturing system of the second embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f4.

Please refer to the following Table 3 and Table 4.

The detailed data of the optical image capturing system of the second embodiment is as shown in Table 3.

TABLE 3 Data of the optical image capturing system f = 1.3219 mm; f/HEP = 2.05; HAF = 37.5115 deg; tan(HAF) = 0.7676 Focal Surface # Curvature Radius Thickness Material Index Abbe # length 0 Object Plano 600 1 Lens 1 0.875196402 0.215 Plastic 1.642 22.46 11.076 2 0.90057215 0.064 3 Ape. stop Plano 0.030 4 Lens 2 0.814507073 0.296 Plastic 1.544 55.96 1.233 5 −3.394585334 0.159 6 Lens 3 −0.504765567 0.181 Plastic 1.642 22.46 −1.802 7 −1.015227124 0.056 8 Lens 4 0.374064886 0.214 Plastic 1.544 55.96 1.948 9 0.460507202 0.141 10 IR-bandstop Plano 0.145 BK7_SCHOTT 1.517 64.13 filter 11 Plano 0.362 12 Image plane Plano Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the first surface is 0.375 mm. The clear aperture of the ninth surface is 0.7780 mm. As for the parameters of the aspheric surfaces of the second embodiment, reference is made to Table 4.

TABLE 4 Aspheric Coefficients Surface # 1 2 4 5 6 7 k = 3.059860E+00 1.541511E+00 −1.419042E−01 9.323232E+00 −9.988011E+00 5.564944E−01 A4 = −1.245184E+00 −1.533114E+00 −1.186679E+00 4.144582E−01 −7.447057E+00 −6.647712E+00 A6 = −3.844188E+00 −1.063483E+01 −4.401033E+00 −9.059084E+01 1.004511E+02 6.560260E+01 A8 = 8.142175E+01 4.156158E+01 3.051438E+01 2.151346E+03 −2.394109E+03 −1.599136E+02 A10 = −1.700955E+03 1.298229E+03 −7.993670E+02 −3.448173E+04 3.663820E+04 −4.959919E+03 A12 = 1.354958E+04 −4.059303E+03 −6.590046E+03 3.292731E+05 −3.193430E+05 7.289516E+04 A14 = −4.907557E+04 −2.423335E+05 1.619100E+05 −1.829152E+06 1.737807E+06 −4.163032E+05 A16 = 4.929382E+04 1.661634E+06 −7.106195E+05 5.658325E+06 −5.575953E+06 1.107395E+06 A18 = 0.000000E+00 0.000000E+00 0.000000E+00 −7.758274E+06 7.896588E+06 −1.150017E+06 A20 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface # 8 9 k = −4.471308E+00 −1.652829E+00 A4 = −3.112884E+00 −2.209832E+00 A6 = 1.646010E+01 −8.734263E+00 A8 = −1.666847E+02 1.238090E+02 A10 = 1.122427E+03 −6.770854E+02 A12 = −3.925278E+03 2.228931E+03 A14 = 4.965550E+03 −4.682441E+03 A16 = 8.954645E+03 6.119357E+03 A18 = −3.510074E+04 −4.520455E+03 A20 = 3.084419E+04 1.433566E+03

In the second embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.

The following contents may be deduced from Table 3 and Table 4.

Second embodiment (Primary reference wavelength = 555 nm) ETP1 ETP2 ETP3 ETP4 ED12/ED23 SED 0.206  0.226  0.206  0.219  1.024 0.383  ETP1/TP1 ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 0.959  0.763  1.137  1.025  0.511 0.857  ETL EBL EIN EIR PIR STP 1.814  0.575  1.239  0.070  0.141 0.906  EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.683  0.691  0.496  0.8875   0.6479 0.946  ED12 ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.098  0.096  0.188  1.052  0.604 3.356  InRS41 InRS42 HVT41 HVT42 ODT % TDT % 0.03561 0.05562 0.40208 0.53316  2.99194 0.49744 | f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 | 0.11509 1.03376 0.70759 0.65448  8.98232 0.68448 Σ PPR Σ NPR Σ PPR/| Σ NPR | Σ PP Σ NP f1/Σ PP 2.72200 0.70759 3.84686 14.25690   −1.80151 0.77689 f4/Σ NP IN12/f IN23/f IN34/f TP3/f TP4/f −1.08115  0.07337 0.12471 0.04397  0.14217 0.16756 InTL HOS HOS/HOI InS/HOS InTL/HOS Σ TP/InTL 1.21411 1.86200 1.81128 0.85043  0.65205 0.74587 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 1.04305 1.48778 0.72685 0.84851 0.24997 | InRS41 |/TP4 | InRS42 |/TP4 HVT42/HOI HVT42/HOS PhiA4/InTL PhiA4/HOI 0.1667  0.2604  0.5186  0.2863    1.355726  1.601167 PhiA4 PhiB PhiC PhiD RI9 PhiA4/HEP 1.646 mm 2.046 mm 2.746 mm 3.196 mm 40% 2.58251 MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.87   0.86   0.8   0.73   0.7  0.63  

The following contents may be deduced from Table 3 and Table 4.

Second embodiment (Primary reference wavelength = 555 nm) HIF111 0.3436 HIF111/HOI 0.3342 SGI111 0.0597 |SGI111|/(|SGI111| + TP1) 0.2173 HIF121 0.2399 HIF121/HOI 0.2333 SGI121 0.0272 |SGI121|/(|SGI121| + TP1) 0.1125 HIF211 0.2311 HIF211/HOI 0.2248 SGI211 0.0292 |SGI211|/(|SGI211| + TP2) 0.0899 HIF311 0.2961 HIF311/HOI 0.2881 SGI311 −0.0916 |SGI311|/(|SGI311| + TP3) 0.3357 HIF321 0.3102 HIF321/HOI 0.3018 SGI321 −0.0736 |SGI321|/(|SGI321| + TP3) 0.2888 HIF411 0.1914 HIF411/HOI 0.1861 SGI411 0.0375 |SGI411|/(|SGI411| + TP4) 0.1494 HIF421 0.2488 HIF421/HOI 0.2420 SGI421 0.0551 |SGI421|/(|SGI421| + TP4) 0.2049

The Third Embodiment (Embodiment 3)

Please refer to FIG. 3A, FIG. 3B, FIG. 3C and FIG. 3D. FIG. 3A is a schematic view of the optical image capturing system according to the third embodiment of the present application, FIG. 3B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the third embodiment of the present application, FIG. 3C is a characteristic diagram of modulation transfer of a visible light according to the third embodiment of the present application and FIG. 3D is a numerical figure of relative illumination of each view field on the image plane according to the third embodiment of the present application. As shown in FIG. 3A, in order from an object side to an image side, the optical image capturing system includes a first lens element 310, an aperture stop 300, a second lens element 320, a third lens element 330, a fourth lens element 340, an IR-bandstop filter 370, an image plane 380, and an image sensing device 390.

The first lens element 310 has negative refractive power and it is made of plastic material. The first lens element 310 has a convex object-side surface 312 and a concave image-side surface 314, and both of the object-side surface 312 and the image-side surface 314 are aspheric and have an inflection point.

The second lens element 320 has positive refractive power and it is made of plastic material. The second lens element 320 has a convex object-side surface 322 and a convex image-side surface 324, and both of the object-side surface 322 and the image-side surface 324 are aspheric and have an inflection point.

The third lens element 330 has negative refractive power and it is made of plastic material. The third lens element 330 has a concave object-side surface 332 and a convex image-side surface 334, and both of the object-side surface 332 and the image-side surface 334 are aspheric and have an inflection point.

The fourth lens element 340 has positive refractive power and it is made of plastic material. The fourth lens element 340 has a convex object-side surface 342 and a concave image-side surface 344, and both of the object-side surface 342 and the image-side surface 344 are aspheric and have an inflection point.

The IR-bandstop filter 370 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element 340 and the image plane 380.

In the optical image capturing system of the third embodiment, the second and the fourth lens elements are positive lens elements, and focal lengths are respectively f2 and f4. A sum of focal lengths of all lens elements with positive refractive power is ΣPP=f2+f4. Hereby, it is favorable for allocating the positive refractive power of a single lens element to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.

In the optical image capturing system of the third embodiment, focal lengths of the first and the third lens element are respectively f1 and f3. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f1+f3. Hereby, it is favorable for allocating the negative refractive power of a single lens element to other negative lens elements.

Please refer to the following Table 5 and Table 6.

The detailed data of the optical image capturing system of the third embodiment is as shown in Table 5.

TABLE 5 Data of the optical image capturing system f = 1.2859 mm; f/HEP = 2.0; HAF = 37.5222 deg; tan(HAF) = 0.7679 Focal Surface# Curvature Radius Thickness Material Index Abbe # length 0 Object Plano At infinity 1 Lens 1 0.868009978 0.215 Plastic 1.642 22.46 −12.498 2 0.707624917 0.053 3 Ape. stop Plano 0.050 4 Lens 2 0.567584804 0.333 Plastic 1.544 55.96 0.959 5 −5.414461091 0.147 6 Lens 3 −0.48514482 0.181 Plastic 1.642 22.46 −1.482 7 −1.125341151 0.043 8 Lens 4 0.357017786 0.214 Plastic 1.544 55.96 1.944 9 0.424171789 0.112 10 IR-bandstop Plano 0.145 BK7_SCHOTT 1.517 64.13 filter 11 Plano 0.370 12 Image plane Plano Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the first surface is 0.383 mm. The clear aperture of the fifth surface is 0.400 mm. The clear aperture of the ninth surface is 0.706 mm. As for the parameters of the aspheric surfaces of the third embodiment, reference is made to Table 6.

TABLE 6 Aspheric Coefficients Surface # 1 2 4 5 6 7 k = 3.011046E+00 8.496212E−01 −1.996345E−01 9.323232E+00 −1.427646E+01 −3.467853E−01 A4 = −1.584874E+00 −1.575769E+00 −2.453892E+00 1.750966E+00 −5.779057E+00 −8.789686E+00 A6 = −3.493302E+00 −1.438603E+02 5.114119E+01 −1.383566E+02 −5.949332E+01 1.389542E+02 A8 = 8.527035E+01 7.439546E+03 −1.753944E+03 3.509504E+03 3.383935E+03 −1.971735E+03 A10 = −1.705693E+03 −2.145369E+05 3.387635E+04 −6.043741E+04 −7.392323E+04 2.545067E+04 A12 = 1.353453E+04 3.644107E+06 −3.947436E+05 6.521775E+05 9.187637E+05 −2.453477E+05 A14 = −4.907557E+04 −3.623565E+07 2.656989E+06 −4.439233E+06 −6.588080E+06 1.639636E+06 A16 = 4.929382E+04 1.951413E+08 −9.396008E+06 1.885620E+07 2.724978E+07 −6.812768E+06 A18 = 0.000000E+00 −4.394361E+08 1.333982E+07 −4.505254E+07 −6.078502E+07 1.547528E+07 A20 = 0.000000E+00 0.000000E+00 0.000000E+00 4.460779E+07 5.675468E+07 −1.465264E+07 Surface # 8 9 k = −5.311763E+00 −1.493089E+00 A4 = −6.561907E+00 −5.011269E+00 A6 = 7.882206E+01 7.583999E+00 A8 = −1.393133E+03 7.209405E+01 A10 = 1.716961E+04 −5.373251E+02 A12 = −1.318552E+05 1.451806E+03 A14 = 6.270865E+05 −9.362089E+02 A16 = −1.800257E+06 −3.674457E+03 A18 = 2.861914E+06 8.300123E+03 A20 = −1.938389E+06 −5.263455E+03

The presentation of the aspheric surface formula in the third embodiment is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 5 and Table 6.

Third embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2 ETP3 ETP4 ED12/ED23 SED 0.216 0.241  0.205  0.230  1.577  1.244  ETP1/TP1 ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 1.007 0.725  1.134  1.077  0.495  0.893  ETL EBL EIN EIR PIR STP 1.814 0.557  1.257  0.044  0.112  0.942  EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.693 0.710  0.395  0.8882  0.6271  0.948  ED12 ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.125 0.079  0.160  1.213  0.540  3.723  InRS41 InRS42 HVT41 HVT42 ODT % TDT %  −0.01932 −0.02445  0.31867 0.45428 1.77013 0.56470 | f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 |  0.10288 1.34045 0.86785 0.66150 13.02904  0.64743 Σ PPR Σ NPR Σ PPR/| Σ NPR | Σ PP Σ NP f1/Σ PP  2.00195 0.97073 2.06231 2.90312 −13.97995  −4.30513  f4/Σ NP IN12/f IN23/f IN34/f TP3/f TP4/f  −0.06862 0.08007 0.11406 0.03340 0.14094 0.16611 InTL HOS HOS/HOI InS/HOS InTL/HOS Σ TP/InTL  1.23495 1.86203 1.81131 0.85611 0.66323 0.76308 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3)  0.95599 1.41553 0.64641 0.84851 0.22207 | InRS41 |/TP4 | InRS42 |/TP4 HVT42/HOI HVT42/HOS PhiA4/InTL PhiA4/HOI  0.0905 0.1145  0.4419  0.2440  1.25997  1.513619 PhiA4 PhiB PhiC PhiD RI9 PhiA4/HEP 1.556 mm 1.956 mm 2.656 mm 3.106 mm 45% 2.42019 MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.9  0.88   0.85   0.79   0.75   0.65  

The following contents may be deduced from Table 5 and Table 6.

Related inflection point values of third embodiment (Primary reference wavelength: 555 nm) HIF111 0.3425 HIF111/HOI 0.3332 SGI111 0.0566 |SGI111|/(|SGI111| + TP1) 0.2085 HIF121 0.2460 HIF121/HOI 0.2393 SGI121 0.0351 |SGI121|/(|SGI121| + TP1) 0.1402 HIF211 0.2882 HIF211/HOI 0.2803 SGI211 0.0643 |SGI211|/(|SGI211| + TP2) 0.1620 HIF221 0.3453 HIF221/HOI 0.3359 SGI221 −0.0381 |SGI221|/(|SGI221| + TP2) 0.1028 HIF311 0.2914 HIF311/HOI 0.2835 SGI311 −0.0844 |SGI311|/(|SGI311| + TP3) 0.3177 HIF321 0.2914 HIF321/HOI 0.2835 SGI321 −0.0615 |SGI321|/(|SGI321| + TP3) 0.2535 HIF411 0.1520 HIF411/HOI 0.1479 SGI411 0.0249 |SGI411|/(|SGI411| + TP4) 0.1043 HIF421 0.2081 HIF421/HOI 0.2025 SGI421 0.0410 |SGI421|/(|SGI421| + TP4) 0.1611

The Fourth Embodiment (Embodiment 4)

Please refer to FIG. 4A, FIG. 4B, FIG. 4C and FIG. 4D. FIG. 4A is a schematic view of the optical image capturing system according to the fourth embodiment of the present application, FIG. 4B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the fourth embodiment of the present application, FIG. 4C is a characteristic diagram of modulation transfer of a visible light according to the fourth embodiment of the present application and FIG. 4D is a numerical figure of relative illumination of each view field on the image plane according to the fourth embodiment of the present application. As shown in FIG. 4A, in order from an object side to an image side, the optical image capturing system includes a first lens element 410, an aperture stop 400, a second lens element 420, a third lens element 430, a fourth lens element 440, an IR-bandstop filter 470, an image plane 480, and an image sensing device 490.

The first lens element 410 has positive refractive power and it is made of plastic material. The first lens element 410 has a convex object-side surface 412 and a concave image-side surface 414, and both of the object-side surface 412 and the image-side surface 414 are aspheric. The image-side surface 414 has an inflection point.

The second lens element 420 has negative refractive power and it is made of plastic material. The second lens element 420 has a convex object-side surface 422 and a concave image-side surface 424, and both of the object-side surface 422 and the image-side surface 424 are aspheric and have an inflection point.

The third lens element 430 has positive refractive power and it is made of plastic material. The third lens element 430 has a concave object-side surface 432 and a convex image-side surface 434, and both of the object-side surface 432 and the image-side surface 434 are aspheric and have an inflection point.

The fourth lens element 440 has negative refractive power and it is made of plastic material. The fourth lens element 440 has a convex object-side surface 442 and a concave image-side surface 444, and both of the object-side surface 442 and the image-side surface 444 are aspheric and have an inflection point.

The IR-bandstop filter 470 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element 440 and the image plane 480.

In the optical image capturing system of the fourth embodiment, the first and the third lens elements are positive lens elements, and focal lengths are respectively f1 and f3. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f1+f3. Hereby, it is favorable for allocating the positive refractive power of a single lens element to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.

In the optical image capturing system of the fourth embodiment, the focal lengths of the second and the fourth lens elements are respectively f2 and f4. A sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relation is satisfied: ΣNP=f2+f4. Hereby, it is favorable for allocating the negative refractive power of a single lens element to other negative lens elements.

Please refer to the following Table 7 and Table 8.

The detailed data of the optical image capturing system of the fourth embodiment is as shown in Table 7.

TABLE 7 Data of the optical image capturing system f = 1.3238 mm; f/HEP = 2.370; HAF(tan) = 37.3825 deg; tan(HAF) = 0.7641 Focal Surface# Curvature Radius Thickness Material Index Abbe # length 0 Object Plano 600 1 Lens 1 0.826378369 0.242 Plastic 1.545 55.96 2.363 2 2.059435851 0.047 3 Ape. Plano 0.054 stop 4 Lens 2 1.54316432 0.202 Plastic 1.642 22.46 −51.596 5 1.399177166 0.106 6 Lens 3 −1.190735147 0.318 Plastic 1.545 55.96 0.810 7 −0.35305323 0.029 8 Lens 4 0.839506984 0.178 Plastic 1.642 22.46 −0.990 9 0.333323218 0.137 10 IR-bandstop Plano 0.210 BK7_SCHOTT 1.517 64.13 filter 11 Plano 0.370 12 Image Plano plane Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the third surface is 0.280 mm. As for the parameters of the aspheric surfaces of the fourth embodiment, reference is made to Table 8.

TABLE 8 Aspheric Coefficients Surface # 1 2 4 5 6 7 k = −1.567331E+00 1.970850E+01 −3.621785E+00 2.839174E+00 −2.497830E+01 −1.149578E+00 A4 = 1.655126E−01 −1.704701E+00 −2.312997E+00 −6.249596E−01 2.870682E−01 3.210857E+00 A6 = −5.824348E−01 −1.972977E+00 −6.927249E−01 −8.604247E+00 −1.986057E+00 −6.019237E+01 A8 = −1.182978E+01 −4.312127E+01 −1.072428E+02 6.598151E+01 −2.113580E+01 1.049823E+03 A10 = 2.172763E+02 8.464405E+02 −8.996457E+01 −7.998883E+02 1.115432E+03 −1.157197E+04 A12 = −1.738758E+03 −5.534995E+03 1.529361E+04 5.797895E+03 −7.270311E+03 7.807890E+04 A14 = −6.889623E+01 −1.786065E+03 −1.154865E+05 −2.122366E+04 −3.285153E+03 −3.109808E+05 A16 = 3.431766E+04 1.251304E+05 3.273054E+05 3.343841E+04 1.858558E+05 7.126193E+05 A18 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 −6.862888E+05 −8.533113E+05 A20 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 9.040614E+05 3.811336E+05 Surface # 8 9 k = −1.033119E+01 −5.062763E+00 A4 = −7.386775E+00 −4.681364E+00 A6 = 6.697799E+01 3.876766E+01 A8 = −4.248551E+02 −2.405526E+02 A10 = 1.485653E+03 9.983928E+02 A12 = −1.508217E+03 −2.753831E+03 A14 = −8.709124E+03 4.961749E+03 A16 = 3.811917E+04 −5.593459E+03 A18 = −6.206508E+04 3.571264E+03 A20 = 3.804853E+04 −9.839921E+02

The presentation of the aspheric surface formula in the fourth embodiment is similar to that in the first embodiment. Besides the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 7 and Table 8.

Fourth embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2 ETP3 ETP4 ED12/ED23 SED 0.204  0.216  0.244  0.227  1.673 0.301  ETP1/TP1 ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 0.845  1.071  0.766  1.277  0.424 0.892  ETL EBL EIN EIR PIR STP 1.847  0.654  1.192  0.074  0.137 0.940  EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.646  0.748  0.542  0.9123   0.7169 0.948  ED12 ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.100  0.060  0.141  0.983  0.562 4.901  InRS41 InRS42 HVT41 HVT42 ODT % TDT % −0.06850  0.03361 0.24561 0.46236  1.71806 0.89667 | f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 | 0.56027 0.02566 1.63453 1.33656  0.04579 63.70735  Σ PPR Σ NPR Σ PPR/| Σ NPR | Σ PP Σ NP f1/Σ PP 2.19480 1.36222 1.61120 3.17268 −52.58665 0.74473 f4/Σ NP IN12/f IN23/f IN34/f TP3/f TP4/f 0.98117 0.07676 0.08034 0.02172  0.24059 0.13441 InTL HOS HOS/HOI InS/HOS InTL/HOS Σ TP/InTL 1.17701 1.89391 1.84232 0.97506  0.62147 0.79888 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 1.70136 0.64896 1.19812 1.78997 0.16968 | InRS41 |/TP4 | InRS42 |/TP4 HVT42/HOI HVT42/HOS PhiA4/InTL PhiA4/HOI 0.3850  0.1889  0.4498  0.2441   1.19965  1.373541 PhiA4 PhiB PhiC PhiD RI9 PhiA4/HEP 1.412 mm 1.812 mm 2.512 mm 2.962 mm 45% 2.52794 MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.89   0.87   0.85   0.78   0.7  0.62  

The following contents may be deduced from Table 7 and Table 8.

Related inflection point values of second embodiment (Primary reference wavelength: 555 nm) HIF121 0.1624 HIF121/HOI 0.1580 SGI121 0.0054 |SGI121|/(|SGI121| + TP1) 0.0218 HIF211 0.1433 HIF211/HOI 0.1394 SGI211 0.0056 |SGI211|/(|SGI211| + TP2) 0.0271 HIF221 0.2248 HIF221/HOI 0.2187 SGI221 0.0161 |SGI221|/(|SGI221| + TP2) 0.0737 HIF311 0.2380 HIF311/HOI 0.2316 SGI311 −0.0191 |SGI311|/(|SGI311| + TP3) 0.0565 HIF321 0.3422 HIF321/HOI 0.3328 SGI321 −0.1411 |SGI321|/(|SGI321| + TP3) 0.3070 HIF411 0.1194 HIF411/HOI 0.1162 SGI411 0.0068 |SGI411|/(|SGI411| + TP4) 0.0368 HIF421 0.1769 HIF421/HOI 0.1721 SGI421 0.0345 |SGI421|/(|SGI421| + TP4) 0.1624

The Fifth Embodiment (Embodiment 5)

Please refer to FIG. 5A, FIG. 5B, FIG. 5C and FIG. 5D, is a schematic view of the optical image capturing system according to the fifths embodiment of the present application, FIG. 5B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the fifth embodiment of the present application, FIG. 5C is a characteristic diagram of modulation transfer of a visible light according to the fifth embodiment of the present application and FIG. 5D is a numerical figure of relative illumination of each view field on the image plane according to the fifth embodiment of the present application. As shown in FIG. 5A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 500, a first lens element 510, a second lens element 520, a third lens element 530, a fourth lens element 540, an IR-bandstop filter 570, an image plane 580, and an image sensing device 590

The first lens element 510 has positive refractive power and it is made of plastic material. The first lens element 510 has a convex object-side surface 512 and a concave image-side surface 514, and both of the object-side surface 512 and the image-side surface 514 are aspheric. The image-side surface 514 has an inflection point.

The second lens element 520 has positive refractive power and it is made of plastic material. The second lens element 520 has a concave object-side surface 522 and a convex image-side surface 524, and both of the object-side surface 522 and the image-side surface 524 are aspheric.

The third lens element 530 has positive refractive power and it is made of plastic material. The third lens element 530 has a concave object-side surface 532 and a convex image-side surface 534, and both of the object-side surface 532 and the image-side surface 534 are aspheric. The image-side surface 534 has an inflection point.

The fourth lens element 540 has negative refractive power and it is made of plastic material. The fourth lens element 540 has a convex object-side surface 542 and a concave image-side surface 544, and both of the object-side surface 542 and the image-side surface 544 are aspheric. The object-side surface 542 has two inflection points and the image-side surface 544 has an inflection point.

The IR-bandstop filter 570 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element 540 and the image plane 580.

In the optical image capturing system of the fifth embodiment, the first, second and third lens elements are positive lens elements, and focal lengths are respectively, f1, f2 and f3. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relation is satisfied: ΣPP=f1+f2+f3. Hereby, it is favorable for allocating the positive refractive power of a single lens element to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.

In the optical image capturing system of the fifth embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP=f4.

Please refer to the following Table 9 and Table 10.

The detailed data of the optical image capturing system of the fifth embodiment is as shown in Table 9.

TABLE 9 Data of the optical image capturing system f = 1.3290 mm; f/HEP = 2.05; HAF = 37.5120 deg; tan(HAF) = 0.7677 Focal Surface# Curvature Radius Thickness Material Index Abbe # length 0 Object Plano 600 1 Ape. stop Plano −0.067 2 Lens 1 0.65717761 0.325 Plastic 1.545 55.96 1.280 3 8.979197625 0.097 4 Lens 2 −1.422865307 0.210 Plastic 1.545 55.96 1.826 5 −0.616904778 0.056 6 Lens 3 −0.353893307 0.210 Plastic 1.642 22.46 10.464 7 −0.41493791 0.030 8 Lens 4 0.849089121 0.229 Plastic 1.642 22.46 −1.524 9 0.408052782 0.099 10 IR-bandstop Plano 0.210 BK_7 1.517 64.13 filter 11 Plano 0.310 12 Image plane Plano 0.000 Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the sixth surface is 0.386 mm. The clear aperture of the seventh surface is 0.453 mm. The clear aperture of the eighth surface is 0.508 mm. The clear aperture of the ninth surface is 0.725 mm. As for the parameters of the aspheric surfaces of the fifth embodiment, reference is made to Table 10.

TABLE 10 Aspheric Coefficients Surface # 2 3 4 5 6 7 k = −3.925526E−02 1.106896E+02 8.374418E+00 −1.044020E+00 −5.014467E+00 −9.846061E−01 A4 = −1.620391E−01 −1.547662E+00 −3.589866E+00 −1.015161E+00 −3.238962E+00 3.016104E+00 A6 = −6.426520E+00 −1.998224E+00 1.100620E+01 −3.531239E+01 2.379891E+01 −1.653534E+01 A8 = 2.130092E+02 −2.696018E+02 −7.717802E+02 6.424481E+02 −2.795082E+02 1.393050E+02 A10 = −4.220815E+03 3.227346E+03 1.170138E+04 −5.587356E+03 7.013066E+03 −5.364754E+02 A12 = 4.457354E+04 −2.206555E+04 −8.273742E+04 3.109404E+04 −8.485975E+04 −2.513836E+02 A14 = −2.631628E+05 6.782040E+04 3.174330E+05 −1.029411E+05 4.432129E+05 5.043128E+03 A16 = 6.368479E+05 −2.842720E+04 −4.659187E+05 1.522332E+05 −8.642727E+05 −5.097076E+02 A18 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 A20 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface # 8 9 k = −9.875459E+00 −7.073006E+00 A4 = −6.640131E+00 −2.650595E+00 A6 = 3.918441E+01 1.129569E+01 A8 = −1.688453E+02 −3.999801E+01 A10 = −4.449741E+01 9.206871E+01 A12 = 4.547368E+03 −1.330059E+02 A14 = −2.166284E+04 1.037496E+02 A16 = 3.399714E+04 −3.268016E+01 A18 = 0.000000E+00 0.000000E+00 A20 = 0.000000E+00 0.000000E+00

The presentation of the aspheric surface formula in the fifth embodiment is similar to that in the first embodiment. Besides the definitions of parameters in following tables are equal to those in the first embodiment so the repetitious details will not be given here.

The following contents may be deduced from Table 9 and Table 10.

Fifth embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2 ETP3 ETP4 ED12/ED23 SED 0.218  0.197  0.221  0.286  0.786  0.215  ETP1/TP1 ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 0.671  0.937  1.051  1.250  0.322  0.922  ETL EBL EIN EIR PIR STP 1.695  0.558  1.137  0.038  0.099  0.974  EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.671  0.811  0.387  0.9013  0.6191  0.947  ED12 ED23 ED34 ED12/IN12 ED23/IN23 ED34/IN34 0.035  0.044  0.136  0.356  0.785  4.548  InRS41 InRS42 HVT41 HVT42 ODT % TDT % −0.10769  −0.04922  0.22750 0.42999 1.21497 1.18158 | f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/f2 | | f2/f3 | 1.03800 0.72797 0.12701 0.87225 0.70133 0.17447 Σ PPR Σ NPR Σ PPR/| Σ NPR | Σ PP Σ NP f1/Σ PP 1.89298 0.87225 2.17023 13.56969  −1.52366  0.09435 f4/Σ NP IN12/f IN23/f IN34/f TP3/f TP4/f 1.00000 0.07301 0.04204 0.02257 0.15834 0.17213 InTL HOS HOS/HOI InS/HOS InTL/HOS Σ TP/InTL 1.15689 1.77595 1.72758 0.96228 0.65142 0.84190 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 2.00867 1.22967 1.54664 0.91988 0.11731 | InRS41 |/TP4 | InRS42 |/TP4 HVT42/HOI HVT42/HOS PhiA4/InTL PhiA4/HOI 0.4707  0.2151  0.4183  0.2421   1.232939  1.387524 PhiA4 PhiB PhiC PhiD RI9 PhiA4/HEP 1.42637 mm 1.82637 mm 2.52637 mm 2.97637 mm 45% 2.20018 MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.9   0.88   0.85   0.82   0.73   0.65  

The following contents may be deduced from Table 9 and Table 10.

Related inflection point values of fifth embodiment (Primary reference wavelength: 555 nm) HIF121 0.0763 HIF121/HOI 0.0742 SGI121 0.0003 |SGI121|/(|SGI121| + TP1) 0.0008 HIF321 0.3394 HIF321/HOI 0.3301 SGI321 −0.1100 |SGI321|/(|SGI321| + TP3) 0.3433 HIF411 0.1194 HIF411/HOI 0.1161 SGI411 0.0068 |SGI411|/(|SGI411| + TP4) 0.0289 HIF412 0.4837 HIF412/HOI 0.4705 SGI412 −0.0862 |SGI412|/(|SGI412| + TP4) 0.2736 HIF421 0.1814 HIF421/HOI 0.1765 SGI421 0.0300 |SGI421|/(|SGI421| + TP4) 0.1158

The Sixth Embodiment (Embodiment 6)

Please refer to FIG. 6A, FIG. 6B, FIG. 6C and FIG. 6D. FIG. 6A is a schematic view of the optical image capturing system according to the sixth Embodiment of the present application, FIG. 6B is longitudinal spherical aberration curves, astigmatic field curves, and an optical distortion curve of the optical image capturing system in the order from left to right according to the sixth Embodiment of the present application, FIG. 6C is a characteristic diagram of modulation transfer of a visible light according to the sixth embodiment of the present application and FIG. 6D is a numerical figure of relative illumination of each view field on the image plane according to the sixth embodiment of the present application. As shown in FIG. 6A, in order from an object side to an image side, the optical image capturing system includes an aperture stop 600, a first lens element 610, a second lens element 620, a third lens element 630, a fourth lens element 640, an IR-bandstop filter 670, an image plane 680, and an image sensing device 690.

The first lens element 610 has positive refractive power and it is made of plastic material. The first lens element 610 has a convex object-side surface 612 and a convex image-side surface 614, and both of the object-side surface 612 and the image-side surface 614 are aspheric. The object-side surface 612 has an inflection point.

The second lens element 620 has positive refractive power and it is made of plastic material. The second lens element 620 has a concave object-side surface 622 and a convex image-side surface 624, and both of the object-side surface 622 and the image-side surface 624 are aspheric and have an inflection point.

The third lens element 630 has negative refractive power and it is made of plastic material. The third lens element 630 has a concave object-side surface 632 and a convex image-side surface 634, and both of the object-side surface 632 and the image-side surface 634 are aspheric. The object-side surface 632 has an inflection point.

The fourth lens element 640 has negative refractive power and it is made of plastic material. The fourth lens element 640 has a convex object-side surface 642 and a concave image-side surface 644, and both of the object-side surface 642 and the image-side surface 644 are aspheric and have an inflection point.

The IR-bandstop filter 670 is made of glass material without affecting the focal length of the optical image capturing system and it is disposed between the fourth lens element 640 and the image plane 690.

In the optical image capturing system of the sixth embodiment, the first and the second lens elements are positive lens elements, and focal lengths are respectively f1 and f2. A sum of focal lengths of all lens elements with positive refractive power is ΣPP. The following relations are satisfied: ΣPP=f1+f2. Hereby, it is favorable for allocating the positive refractive power of a single lens element to other positive lens elements and the significant aberrations generated in the process of moving the incident light can be suppressed.

In the optical age capturing system of the sixth embodiment, a sum of focal lengths of all lens elements with negative refractive power is ΣNP. The following relations are satisfied: ΣNP=f3+f4. Hereby, it is favorable for allocating the negative refractive power of a single lens element to other negative lens elements.

Please refer to the following Table 11 and Table 12.

The detailed data of the optical image capturing system of the sixth Embodiment is as shown in Table 11.

TABLE 11 Data of the optical image capturing system f = 1.3219 mm; f/HEP = 2.05; HAF = 37.5115 deg; tan(HAF) = 0.7676 Focal Surface# Curvature Radius Thickness Material Index Abbe # length 0 Object Plano 600 1 Ape. Stop/ 0.910134564 0.297 Plastic 1.535 56.05 1.25 Lens 1 2 −2.234704553 0.146 3 Lens 2 −0.911923961 0.264 Plastic 1.535 56.05 1.65 4 −0.494882008 0.068 5 Lens 3 −0.316713012 0.181 Plastic 1.636 23.89 −3.57 6 −0.449582937 0.030 7 Lens 4 0.470694691 0.211 Plastic 1.544 56.09 −3.30 8 0.314038592 0.123 9 IR-bandstop Plano 0.210 BK_7 1.517 64.13 filter 10 Plano 0.310 11 Image plane Plano 0.000 Reference wavelength (d-line) = 555 nm; shield position: The clear aperture of the fourth surface is 0.440 mm. The clear aperture of the sixth surface is 0.530 mm. As for the parameters of the aspheric surfaces of the sixth Embodiment, reference is made to Table 12.

TABLE 12 Aspheric Coefficients Surface # 1 2 3 4 5 6 k = −1.266469E+00 2.495254E+01 2.717976E+00 −4.008969E+00 −6.300607E+00 −1.057859E+00 A4 = −5.130804E−01 −8.945288E−01 −1.398240E+00 −1.221317E+00 −4.227344E+00 2.969829E+00 A6 = −4.017185E+00 −1.875099E+00 2.428942E+01 −3.420122E+01 3.547631E+01 −1.556892E+01 A8 = 1.601752E+02 −1.180297E+02 −6.215338E+02 6.420384E+02 −1.183421E+02 1.260285E+02 A10 = −3.980061E+03 2.709061E+03 1.051518E+04 −5.621817E+03 −1.606236E+01 −5.044403E+02 A12 = 4.457354E+04 −2.206555E+04 −8.289563E+04 3.089865E+04 6.402369E+02 2.609659E+02 A14 = −2.631628E+05 6.782040E+04 3.174330E+05 −1.025962E+05 −1.041974E+03 3.703562E+03 A16 = 6.368479E+05 −2.842720E+04 −4.659187E+05 1.522332E+05 1.119349E+03 −6.938851E+03 A18 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 A20 = 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 0.000000E+00 Surface # 7 8 k = −9.875460E+00 −4.690981E+00 A4 = −4.061699E+00 −2.447153E+00 A6 = 1.986941E+01 1.109978E+01 A8 = −6.432516E+01 −3.827027E+01 A10 = 4.734763E+01 8.621683E+01 A12 = 4.385064E+02 −1.240440E+02 A14 = −1.672881E+03 1.008030E+02 A16 = 1.869852E+03 −3.577061E+01 A18 = 0.000000E+00 0.000000E+00 A20 = 0.000000E+00 0.000000E+00

In the sixth Embodiment, the presentation of the aspheric surface formula is similar to that in the first embodiment. Besides, the definitions of parameters in following tables are equal to those in the first embodiment, so the repetitious details will not be given here.

The following contents may be deduced from Table 11 and Table 12.

Sixth embodiment (Primary reference wavelength: 555 nm) ETP1 ETP2 ETP3 ETP4 ED12/ED23 SED 0.210  0.230  0.202  0.257  2.054  0.336  ETP1/TP1 ETP2/TP2 ETP3/TP3 ETP4/TP4 ED23/ED34 SETP 0.705  0.874  1.115  1.220  0.357  0.899  ETL EBL EIN EIR PIR STP 1.792  0.557  1.235  0.037  0.123  0.953  EIN/ETL SETP/EIN EIR/PIR EBL/BL BL SETP/STP 0.689  0.728  0.304  0.8661  0.6431  0.944  ED12 ED23 ED34 ED12/TN12 ED23/IN23 ED34/IN34 0.118  0.057  0.160  0.807  0.844  5.350  InRS41 InRS42 HVT41 HVT42 ODT % TDT % −0.04585  0.02741 0.33217 0.54007 1.37494 0.81780 | f/f1 | | f/f2 | | f/f3 | | f/f4 | | f1/T2 | | f2/f3 | 1.06010 0.79977 0.36983 0.40091 0.75443 0.46242 Σ PPR Σ NPR Σ PPR/| Σ NPR | Σ PP Σ NP f1/Σ PP 1.85987 0.77074 2.41309 2.89981 −6.87159  0.43001 f4/Σ NP IN12/f IN23/f IN34/f TP3/f TP4/f 0.47984 0.11048 0.05144 0.02269 0.13692 0.15967 InTL HOS HOS/HOI InS/HOS InTL/HOS Σ TP/InTL 1.19686 1.84000 1.78988 0.97417 0.65047 0.79609 (TP1 + IN12)/TP2 (TP4 + IN34)/TP3 TP1/TP2 TP3/TP4 IN23/(TP2 + IN23 + TP3) 1.68090 1.33185 1.12693 0.85756 0.13265 | InRS41 |/TP4 | InRS42 |/TP4 HVT42/HOI HVT42/HOS PhiA4/InTL PhiA4/HOI 0.2173  0.1299  0.5254  0.2935   1.211504  1.410506 PhiA4 PhiB PhiC PhiD RI9 PhiA4/HEP 1.45 mm 1.85 mm 2.55 mm 3.00 mm 50% 2.24866 MTFE0 MTFE3 MTFE7 MTFQ0 MTFQ3 MTFQ7 0.9   0.86   0.85   0.77   0.69   0.65  

The following contents may be deduced from Table 11 and Table 12.

Related inflection point values of sixth embodiment (Primary reference wavelength: 555 nm) HIF111 0.2662 HIF111/HOI 0.2590 SGI111 0.0353 |SGI111|/(|SGI111| + TP1) 0.1063 HIF211 0.3181 HIF211/HOI 0.3094 SGI211 −0.0661 |SGI211|/(|SGI211| + TP2) 0.2006 HIF221 0.4138 HIF221/HOI 0.4025 SGI221 −0.1599 |SGI221|/(|SGI221| + TP2) 0.3775 HIF321 0.3056 HIF321/HOI 0.2973 SGI321 −0.0836 |SGI321|/(|SGI321| + TP3) 0.3159 HIF411 0.1485 HIF411/HOI 0.1444 SGI411 0.0180 |SGI411|/(|SGI411| + TP4) 0.0784 HIF421 0.2040 HIF421/HOI 0.1984 SGI421 0.0474 |SGI421|/(|SGI421| + TP4) 0.1835

The above-mentioned descriptions represent merely the exemplary embodiment of the present disclosure, without any intention to limit the scope of the present disclosure thereto. Various equivalent changes, alternations or modifications based on the claims of present disclosure are all consequently viewed as being embraced by the scope of the present disclosure. 

What is claimed is:
 1. An optical image capturing system, from an object side to an image side, comprising: a first lens element with refractive power; a second lens element with refractive power; a third lens element with refractive power; a fourth lens element with refractive power; and an image plane; wherein the optical image capturing system consists of four lens elements with refractive power, at least one of the first though fourth lens elements has at least one inflection point on at least one surface thereof, at least one of the four lens elements has positive refractive power, an object-side surface and an image-side surface of the fourth lens element are both aspheric, focal lengths of the four lens elements are f1, f2, f3 and f4 respectively, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, a distance from an axial point on an object-side surface of the first lens element to an axial point on the image plane is HOS, a distance from the object-side surface of the first lens element to the image-side surface of the fourth lens element on an optical axis is Inn, an effective maximum diameter of the image-side surface of the fourth lens element is PhiA4, thicknesses in parallel with an optical axis of the four lens elements at height ½ HEP respectively are ETP1, ETP2 ETP3 and EPT4, a sum of ETP1, through ETP4 described above is SETP, thicknesses of the four lens elements on the optical axis respectively are TP1, TP2, TP3 and TP4, a sum of TP1 through TP4 described above is STP, and the following relations are satisfied: 1.2≦f/HEP≦10, 0.5≦HOS/f≦20, 0<PhiA4/InTL≦1.5 and 0.5≦SETP/STP<1.
 2. The optical image capturing system of claim 1, wherein a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height ½ HEP to the image plane is ETL, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height ½ HEP to a coordinate point on the image-side surface of the second lens element at height ½ HEP is EIN, and the following relation is satisfied: 0.2≦EIN/ETL<1.
 3. The optical image capturing system of claim 1, wherein a thickness in parallel with the optical axis of the first lens element at height ½ HEP is ETP1, a thickness in parallel with the optical axis of the second lens element at height ½ HEP is ETP2, a thickness in parallel with the optical axis of the third lens element at height ½ HEP is ETP3, a thickness in parallel with the optical axis of the fourth lens element at height ½ HEP is ETP4, the sum of ETP1 through ETP4 described above is SETP, and the following relation is satisfied: 0.3≦SETP/EIN÷0.8.
 4. The optical image capturing system of claim 1, wherein the optical image capturing system comprises a light filtration element, the light filtration element is located between the fourth lens element and the image plane, a distance in parallel with the optical axis from a coordinate point on the image-side surface of the fourth lens element at height ½ HEP to the light filtration element is FIR, a distance in parallel with the optical axis from an axial point on the image-side surface of the fourth lens element to the light filtration element is PIR, and the following relation is satisfied: 0.2≦EIR/PIR≦5.0.
 5. The optical image capturing system of claim 1, wherein a maximum height for image formation of a visible spectrum on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, contrast transfer rates of modulation transfer with spatial frequencies of 110 cycles/mm at the optical axis on the image plane, 0.3 HOI and 0.7 HOI are respectively denoted by MTFQ0, MTFQ3 and MTFQ7, and the following relations are satisfied: MTFQ0≧0.3, MTFQ3≧0.2 and MTFQ7≧0.01.
 6. The optical image capturing system of claim 1, wherein a horizontal distance in parallel with the optical axis from a coordinate point on the image-side surface of the fourth lens element at height ½ HEP to the image plane is EBL, a horizontal distance in parallel with the optical axis from an axial point on the image-side surface of the fourth lens element to the image plane is BL, and the following relation is satisfied: 0.2≦EBL/BL≦1.1.
 7. The optical image capturing system of claim 1, wherein the optical image capturing system is satisfied: 0<PhiA4/HEP≦4.0.
 8. The optical image capturing system of claim 1, wherein a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, and the following relation is satisfied: 0<PhiA4/2HOI≦2.0.
 9. The optical image capturing system of claim 1, further comprising an aperture stop, a distance from the aperture stop to the image plane on the optical axis is InS, a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, an image sensing device is disposed on the image plane, and the following relations are satisfied: 0.2≦InS/HOS≦1.1 and 0.5<HOS/HOI≦15.
 10. An optical image capturing system, from an object side to an image side, comprising: a first lens element with positive refractive power; a second lens element with refractive power; a third lens element with refractive power; a fourth lens element with refractive power; and an image plane; a first lens element positioning element including a mirror base which is hollow and opaque, and the mirror base having a cylinder and a basement which are connected with each other; the cylinder accommodating the four lens elements, the basement between the fourth lens element and the image plane, and an outer periphery of the basement greater than an outer periphery of the cylinder, and a maximum value of the minimum side length of the basement perpendicular to the surface of the optical axis denoted by PhiD; wherein the optical image capturing system consists of four lens elements with refractive power, at least one of the four lens elements respectively has at least one inflection point on at least one surface thereof, at least one of the four lens elements with positive refractive power, focal lengths of the four lens elements are f1, f2, 13 and f4 respectively, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, a distance from an axial point on an object-side surface of the first lens element to an axial point on the image plane is HOS, a half of a maximum view angle of the optical image capturing system is HAF, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height ½ HEP to the image plane is ETL, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height ½ HEP to a coordinate point on the image-side surface of the fourth lens element at height ½ HEP is EIN, and the following relations are satisfied: 1.2≦f/HEP≦10, 0.5≦HOS/f≦20, 0.4≦|tan(HAF)|≦6.0, 0 mm<PhiD≦3.3 mm and 0.2≦EIN/ETL<1.
 11. The optical image capturing system of claim 10, wherein a horizontal distance in parallel with the optical axis from a coordinate point on the image-side surface of the third lens element at height ½ HEP to a coordinate point on the object-side surface of the fourth lens element at height ½ HEP is ED34, a distance from the third lens element to the fourth lens element on the optical axis is IN34, and the following relation is satisfied: 0.5≦ED34/IN34≦10.
 12. The optical image capturing system of claim 10, wherein a horizontal distance in parallel with the optical axis from a coordinate point on the image-side surface of the second lens element at height ½ HEP to a coordinate point on the object-side surface of the third lens element at height ½ HEP is ED23, a distance from the second lens element to the third lens element on the optical axis is IN23, and the following relation is satisfied: 0.1≦ED23/IN23≦5.
 13. The optical image capturing system of claim 10, wherein a horizontal distance in parallel with the optical axis from a coordinate point on the image-side surface of the first lens element at height ½ HEP to a coordinate point on the object-side surface of the second lens element at height ½ HEP is ED12, a distance from the first lens element to the second lens element on the optical axis is IN12, and the following relation is satisfied: 0.1≦ED12/IN12≦5.
 14. The optical image capturing system of claim 10 wherein a thickness in parallel with the optical axis of the fourth lens element at height ½ HEP is ETP4, a thickness of the fourth lens element on the optical axis is TP4, and the following relation is satisfied: 0.5≦ETP4/TP4≦3.0.
 15. The optical image capturing system of claim 10, wherein the optical image capturing system is satisfied: 0<PhiA4/HEP≦4.0.
 16. The optical image capturing system of claim 10, a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, and the following relation is satisfied: 0<PhiA4/2HOI≦2.0.
 17. The optical image capturing system of claim 10, wherein the optical image capturing system is satisfied: 0 mm<PhiA4≦1.8 mm.
 18. The optical image capturing system of claim 10, wherein a distance between the first and the second lens elements on the optical axis is IN12, and, following relation is satisfied: 0<IN12/f≦5.0.
 19. The optical image capturing system of claim 10, wherein at least one of the four lens elements is a light filter element with a wavelength of less than 500 nm.
 20. An optical image capturing system, from an object side to an image side, comprising: a first lens element with positive refractive power; a second lens element with positive refractive power; a third lens element with refractive power; a fourth lens element with refractive power; and an image plane; a first lens element positioning element including a mirror base which is hollow and opaque, and the mirror base having a cylinder and a basement which are connected with each other; the cylinder accommodating the four lens elements, the basement between the fourth lens element and the image plane, and an outer periphery of the basement greater than an out periphery of the cylinder, and a maximum value of the minimum side length of the basement perpendicular to the surface of the optical axis denoted by PhiD; and a second lens element positioning element accommodated in the mirror base and including a positioning part and a connecting part; the positioning part being hollow and directing contacting and accommodating any of the four lens elements, facilitating the lens elements being aligned on the optical axis, the connecting part disposed outside the positioning part and directly contacting an inner periphery of the cylinder, and a maximum diameter of the connection part perpendicular to the surface of the optical axis denoted by PhiC; wherein the optical image capturing system consists of four lens elements with refractive power, at least one of an object-side surface and an image-side surface of at least one of the four lens elements has at least one inflection point, at least one of the four lens elements with positive refractive power, focal lengths of the four lens elements are f1, f2, f3 and f4 respectively, a focal length of the optical image capturing system is f, an entrance pupil diameter of the optical image capturing system is HEP, a half of a maximum view angle of the optical image capturing system is HAF, a distance from an axial point on an object-side surface of the first lens element to an axial point on the image plane is HOS, a half of a maximum view angle of the optical image capturing system is HAF, a maximum effective diameter of the image-side surface of the fourth lens element denoted by PhiA4, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height ½ HEP to the image plane is ETL, a horizontal distance in parallel with the optical axis from a coordinate point on the object-side surface of the first lens element at height ½ HEP to a coordinate point on the image-side surface of the fourth lens element at height ½ HEP is EIN, and the following relations are satisfied: 1.2≦f/HEP≦10, 0.5≦HOS/f≦1.5, 0.4≦|tan(HAF)|≦6.0, 0<PhiA4/InTL≦1.5, PhiC<PhiD, 0 mm<PhiD≦3.3 mm and 0.2≦EIN/ETL<1.
 21. The optical image capturing system of claim 20, wherein the optical image capturing system is satisfied: 0<PhiA4/HEP≦4.0.
 22. The optical image capturing system of claim 20, wherein a maximum height for image formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, and the following relations are satisfied: 0<PhiA4/2HOI≦2.0.
 23. The optical image capturing system of claim 20, wherein the optical image capturing system satisfies the following relation: 0 mm<PhiA4≦1.8 mm.
 24. The optical image capturing system of claim 20, wherein a maximum height for age formation on the image plane perpendicular to the optical axis in the optical image capturing system is denoted by HOI, a relative illumination of the HOI is denoted by RI, contrast transfer rates (MTF values) with spatial frequencies of 55 cycles/m of a visible spectrum at the optical axis, 0.3 field of view and 0.7 field of view on the image plane are respectively denoted by MTF0, MTF3 and MTF7, and the following relation is satisfied: MTFE0≧0.3, MTFE3≧0.2, MTFE7≧0.1 and 10%≦RI<100%.
 25. The optical image capturing system of claim 20, further comprising an aperture stop, an image sensing device and a driving module, the image sensing device is disposed on the image plane and with at least hundred thousand-pixels, a distance from the aperture stop to the image plane on the optical axis is InS, the driving module couples with the two lens elements to displace the lens elements, and the following relation is satisfied: InS/HOS≦1.1. 